- : unit = ()
- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] active(U101(tt,V1,V2)) -> mark(U102(isNaturalKind(V1),V1,V2))
[2] active(U102(tt,V1,V2)) -> mark(U103(isLNatKind(V2),V1,V2))
[3] active(U103(tt,V1,V2)) -> mark(U104(isLNatKind(V2),V1,V2))
[4] active(U104(tt,V1,V2)) -> mark(U105(isNatural(V1),V2))
[5] active(U105(tt,V2)) -> mark(U106(isLNat(V2)))
[6] active(U106(tt)) -> mark(tt)
[7] active(U11(tt,N,XS)) -> mark(U12(isNaturalKind(N),N,XS))
[8] active(U111(tt,V2)) -> mark(U112(isLNatKind(V2)))
[9] active(U112(tt)) -> mark(tt)
[10] active(U12(tt,N,XS)) -> mark(U13(isLNat(XS),N,XS))
[11] active(U121(tt,V2)) -> mark(U122(isLNatKind(V2)))
[12] active(U122(tt)) -> mark(tt)
[13] active(U13(tt,N,XS)) -> mark(U14(isLNatKind(XS),N,XS))
[14] active(U131(tt)) -> mark(tt)
[15] active(U14(tt,N,XS)) -> mark(snd(splitAt(N,XS)))
[16] active(U141(tt)) -> mark(tt)
[17] active(U151(tt)) -> mark(tt)
[18] active(U161(tt)) -> mark(tt)
[19] active(U171(tt,V2)) -> mark(U172(isLNatKind(V2)))
[20] active(U172(tt)) -> mark(tt)
[21] active(U181(tt,V1)) -> mark(U182(isLNatKind(V1),V1))
[22] active(U182(tt,V1)) -> mark(U183(isLNat(V1)))
[23] active(U183(tt)) -> mark(tt)
[24] active(U191(tt,V1)) -> mark(U192(isNaturalKind(V1),V1))
[25] active(U192(tt,V1)) -> mark(U193(isNatural(V1)))
[26] active(U193(tt)) -> mark(tt)
[27] active(U201(tt,V1,V2)) -> mark(U202(isNaturalKind(V1),V1,V2))
[28] active(U202(tt,V1,V2)) -> mark(U203(isLNatKind(V2),V1,V2))
[29] active(U203(tt,V1,V2)) -> mark(U204(isLNatKind(V2),V1,V2))
[30] active(U204(tt,V1,V2)) -> mark(U205(isNatural(V1),V2))
[31] active(U205(tt,V2)) -> mark(U206(isLNat(V2)))
[32] active(U206(tt)) -> mark(tt)
[33] active(U21(tt,X,Y)) -> mark(U22(isLNatKind(X),X,Y))
[34] active(U211(tt)) -> mark(tt)
[35] active(U22(tt,X,Y)) -> mark(U23(isLNat(Y),X,Y))
[36] active(U221(tt)) -> mark(tt)
[37] active(U23(tt,X,Y)) -> mark(U24(isLNatKind(Y),X))
[38] active(U231(tt,V2)) -> mark(U232(isLNatKind(V2)))
[39] active(U232(tt)) -> mark(tt)
[40] active(U24(tt,X)) -> mark(X)
[41] active(U241(tt,V1,V2)) -> mark(U242(isLNatKind(V1),V1,V2))
[42] active(U242(tt,V1,V2)) -> mark(U243(isLNatKind(V2),V1,V2))
[43] active(U243(tt,V1,V2)) -> mark(U244(isLNatKind(V2),V1,V2))
[44] active(U244(tt,V1,V2)) -> mark(U245(isLNat(V1),V2))
[45] active(U245(tt,V2)) -> mark(U246(isLNat(V2)))
[46] active(U246(tt)) -> mark(tt)
[47] active(U251(tt,V1,V2)) -> mark(U252(isNaturalKind(V1),V1,V2))
[48] active(U252(tt,V1,V2)) -> mark(U253(isLNatKind(V2),V1,V2))
[49] active(U253(tt,V1,V2)) -> mark(U254(isLNatKind(V2),V1,V2))
[50] active(U254(tt,V1,V2)) -> mark(U255(isNatural(V1),V2))
[51] active(U255(tt,V2)) -> mark(U256(isLNat(V2)))
[52] active(U256(tt)) -> mark(tt)
[53] active(U261(tt,V2)) -> mark(U262(isLNatKind(V2)))
[54] active(U262(tt)) -> mark(tt)
[55] active(U271(tt,V2)) -> mark(U272(isLNatKind(V2)))
[56] active(U272(tt)) -> mark(tt)
[57] active(U281(tt,N)) -> mark(U282(isNaturalKind(N),N))
[58] active(U282(tt,N)) -> mark(cons(N,natsFrom(s(N))))
[59] active(U291(tt,N,XS)) -> mark(U292(isNaturalKind(N),N,XS))
[60] active(U292(tt,N,XS)) -> mark(U293(isLNat(XS),N,XS))
[61] active(U293(tt,N,XS)) -> mark(U294(isLNatKind(XS),N,XS))
[62] active(U294(tt,N,XS)) -> mark(head(afterNth(N,XS)))
[63] active(U301(tt,X,Y)) -> mark(U302(isLNatKind(X),Y))
[64] active(U302(tt,Y)) -> mark(U303(isLNat(Y),Y))
[65] active(U303(tt,Y)) -> mark(U304(isLNatKind(Y),Y))
[66] active(U304(tt,Y)) -> mark(Y)
[67] active(U31(tt,N,XS)) -> mark(U32(isNaturalKind(N),N,XS))
[68] active(U311(tt,XS)) -> mark(U312(isLNatKind(XS),XS))
[69] active(U312(tt,XS)) -> mark(pair(nil,XS))
[70] active(U32(tt,N,XS)) -> mark(U33(isLNat(XS),N,XS))
[71] active(U321(tt,N,X,XS)) -> mark(U322(isNaturalKind(N),N,X,XS))
[72] active(U322(tt,N,X,XS)) -> mark(U323(isNatural(X),N,X,XS))
[73] active(U323(tt,N,X,XS)) -> mark(U324(isNaturalKind(X),N,X,XS))
[74] active(U324(tt,N,X,XS)) -> mark(U325(isLNat(XS),N,X,XS))
[75] active(U325(tt,N,X,XS)) -> mark(U326(isLNatKind(XS),N,X,XS))
[76] active(U326(tt,N,X,XS)) -> mark(U327(splitAt(N,XS),X))
[77] active(U327(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS))
[78] active(U33(tt,N,XS)) -> mark(U34(isLNatKind(XS),N))
[79] active(U331(tt,N,XS)) -> mark(U332(isNaturalKind(N),XS))
[80] active(U332(tt,XS)) -> mark(U333(isLNat(XS),XS))
[81] active(U333(tt,XS)) -> mark(U334(isLNatKind(XS),XS))
[82] active(U334(tt,XS)) -> mark(XS)
[83] active(U34(tt,N)) -> mark(N)
[84] active(U341(tt,N,XS)) -> mark(U342(isNaturalKind(N),N,XS))
[85] active(U342(tt,N,XS)) -> mark(U343(isLNat(XS),N,XS))
[86] active(U343(tt,N,XS)) -> mark(U344(isLNatKind(XS),N,XS))
[87] active(U344(tt,N,XS)) -> mark(fst(splitAt(N,XS)))
[88] active(U41(tt,V1,V2)) -> mark(U42(isNaturalKind(V1),V1,V2))
[89] active(U42(tt,V1,V2)) -> mark(U43(isLNatKind(V2),V1,V2))
[90] active(U43(tt,V1,V2)) -> mark(U44(isLNatKind(V2),V1,V2))
[91] active(U44(tt,V1,V2)) -> mark(U45(isNatural(V1),V2))
[92] active(U45(tt,V2)) -> mark(U46(isLNat(V2)))
[93] active(U46(tt)) -> mark(tt)
[94] active(U51(tt,V1,V2)) -> mark(U52(isNaturalKind(V1),V1,V2))
[95] active(U52(tt,V1,V2)) -> mark(U53(isLNatKind(V2),V1,V2))
[96] active(U53(tt,V1,V2)) -> mark(U54(isLNatKind(V2),V1,V2))
[97] active(U54(tt,V1,V2)) -> mark(U55(isNatural(V1),V2))
[98] active(U55(tt,V2)) -> mark(U56(isLNat(V2)))
[99] active(U56(tt)) -> mark(tt)
[100] active(U61(tt,V1)) -> mark(U62(isPLNatKind(V1),V1))
[101] active(U62(tt,V1)) -> mark(U63(isPLNat(V1)))
[102] active(U63(tt)) -> mark(tt)
[103] active(U71(tt,V1)) -> mark(U72(isNaturalKind(V1),V1))
[104] active(U72(tt,V1)) -> mark(U73(isNatural(V1)))
[105] active(U73(tt)) -> mark(tt)
[106] active(U81(tt,V1)) -> mark(U82(isPLNatKind(V1),V1))
[107] active(U82(tt,V1)) -> mark(U83(isPLNat(V1)))
[108] active(U83(tt)) -> mark(tt)
[109] active(U91(tt,V1)) -> mark(U92(isLNatKind(V1),V1))
[110] active(U92(tt,V1)) -> mark(U93(isLNat(V1)))
[111] active(U93(tt)) -> mark(tt)
[112] active(afterNth(N,XS)) -> mark(U11(isNatural(N),N,XS))
[113] active(fst(pair(X,Y))) -> mark(U21(isLNat(X),X,Y))
[114] active(head(cons(N,XS))) -> mark(U31(isNatural(N),N,XS))
[115] active(isLNat(nil)) -> mark(tt)
[116] active(isLNat(afterNth(V1,V2))) -> mark(U41(isNaturalKind(V1),V1,V2))
[117] active(isLNat(cons(V1,V2))) -> mark(U51(isNaturalKind(V1),V1,V2))
[118] active(isLNat(fst(V1))) -> mark(U61(isPLNatKind(V1),V1))
[119] active(isLNat(natsFrom(V1))) -> mark(U71(isNaturalKind(V1),V1))
[120] active(isLNat(snd(V1))) -> mark(U81(isPLNatKind(V1),V1))
[121] active(isLNat(tail(V1))) -> mark(U91(isLNatKind(V1),V1))
[122] active(isLNat(take(V1,V2))) -> mark(U101(isNaturalKind(V1),V1,V2))
[123] active(isLNatKind(nil)) -> mark(tt)
[124] active(isLNatKind(afterNth(V1,V2))) -> mark(U111(isNaturalKind(V1),V2))
[125] active(isLNatKind(cons(V1,V2))) -> mark(U121(isNaturalKind(V1),V2))
[126] active(isLNatKind(fst(V1))) -> mark(U131(isPLNatKind(V1)))
[127] active(isLNatKind(natsFrom(V1))) -> mark(U141(isNaturalKind(V1)))
[128] active(isLNatKind(snd(V1))) -> mark(U151(isPLNatKind(V1)))
[129] active(isLNatKind(tail(V1))) -> mark(U161(isLNatKind(V1)))
[130] active(isLNatKind(take(V1,V2))) -> mark(U171(isNaturalKind(V1),V2))
[131] active(isNatural(0)) -> mark(tt)
[132] active(isNatural(head(V1))) -> mark(U181(isLNatKind(V1),V1))
[133] active(isNatural(s(V1))) -> mark(U191(isNaturalKind(V1),V1))
[134] active(isNatural(sel(V1,V2))) -> mark(U201(isNaturalKind(V1),V1,V2))
[135] active(isNaturalKind(0)) -> mark(tt)
[136] active(isNaturalKind(head(V1))) -> mark(U211(isLNatKind(V1)))
[137] active(isNaturalKind(s(V1))) -> mark(U221(isNaturalKind(V1)))
[138] active(isNaturalKind(sel(V1,V2))) -> mark(U231(isNaturalKind(V1),V2))
[139] active(isPLNat(pair(V1,V2))) -> mark(U241(isLNatKind(V1),V1,V2))
[140] active(isPLNat(splitAt(V1,V2))) -> mark(U251(isNaturalKind(V1),V1,V2))
[141] active(isPLNatKind(pair(V1,V2))) -> mark(U261(isLNatKind(V1),V2))
[142] active(isPLNatKind(splitAt(V1,V2))) -> mark(U271(isNaturalKind(V1),V2))
[143] active(natsFrom(N)) -> mark(U281(isNatural(N),N))
[144] active(sel(N,XS)) -> mark(U291(isNatural(N),N,XS))
[145] active(snd(pair(X,Y))) -> mark(U301(isLNat(X),X,Y))
[146] active(splitAt(0,XS)) -> mark(U311(isLNat(XS),XS))
[147] active(splitAt(s(N),cons(X,XS))) -> mark(U321(isNatural(N),N,X,XS))
[148] active(tail(cons(N,XS))) -> mark(U331(isNatural(N),N,XS))
[149] active(take(N,XS)) -> mark(U341(isNatural(N),N,XS))
[150] mark(U101(X1,X2,X3)) -> active(U101(mark(X1),X2,X3))
[151] mark(tt) -> active(tt)
[152] mark(U102(X1,X2,X3)) -> active(U102(mark(X1),X2,X3))
[153] mark(isNaturalKind(X)) -> active(isNaturalKind(X))
[154] mark(U103(X1,X2,X3)) -> active(U103(mark(X1),X2,X3))
[155] mark(isLNatKind(X)) -> active(isLNatKind(X))
[156] mark(U104(X1,X2,X3)) -> active(U104(mark(X1),X2,X3))
[157] mark(U105(X1,X2)) -> active(U105(mark(X1),X2))
[158] mark(isNatural(X)) -> active(isNatural(X))
[159] mark(U106(X)) -> active(U106(mark(X)))
[160] mark(isLNat(X)) -> active(isLNat(X))
[161] mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
[162] mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
[163] mark(U111(X1,X2)) -> active(U111(mark(X1),X2))
[164] mark(U112(X)) -> active(U112(mark(X)))
[165] mark(U13(X1,X2,X3)) -> active(U13(mark(X1),X2,X3))
[166] mark(U121(X1,X2)) -> active(U121(mark(X1),X2))
[167] mark(U122(X)) -> active(U122(mark(X)))
[168] mark(U14(X1,X2,X3)) -> active(U14(mark(X1),X2,X3))
[169] mark(U131(X)) -> active(U131(mark(X)))
[170] mark(snd(X)) -> active(snd(mark(X)))
[171] mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2)))
[172] mark(U141(X)) -> active(U141(mark(X)))
[173] mark(U151(X)) -> active(U151(mark(X)))
[174] mark(U161(X)) -> active(U161(mark(X)))
[175] mark(U171(X1,X2)) -> active(U171(mark(X1),X2))
[176] mark(U172(X)) -> active(U172(mark(X)))
[177] mark(U181(X1,X2)) -> active(U181(mark(X1),X2))
[178] mark(U182(X1,X2)) -> active(U182(mark(X1),X2))
[179] mark(U183(X)) -> active(U183(mark(X)))
[180] mark(U191(X1,X2)) -> active(U191(mark(X1),X2))
[181] mark(U192(X1,X2)) -> active(U192(mark(X1),X2))
[182] mark(U193(X)) -> active(U193(mark(X)))
[183] mark(U201(X1,X2,X3)) -> active(U201(mark(X1),X2,X3))
[184] mark(U202(X1,X2,X3)) -> active(U202(mark(X1),X2,X3))
[185] mark(U203(X1,X2,X3)) -> active(U203(mark(X1),X2,X3))
[186] mark(U204(X1,X2,X3)) -> active(U204(mark(X1),X2,X3))
[187] mark(U205(X1,X2)) -> active(U205(mark(X1),X2))
[188] mark(U206(X)) -> active(U206(mark(X)))
[189] mark(U21(X1,X2,X3)) -> active(U21(mark(X1),X2,X3))
[190] mark(U22(X1,X2,X3)) -> active(U22(mark(X1),X2,X3))
[191] mark(U211(X)) -> active(U211(mark(X)))
[192] mark(U23(X1,X2,X3)) -> active(U23(mark(X1),X2,X3))
[193] mark(U221(X)) -> active(U221(mark(X)))
[194] mark(U24(X1,X2)) -> active(U24(mark(X1),X2))
[195] mark(U231(X1,X2)) -> active(U231(mark(X1),X2))
[196] mark(U232(X)) -> active(U232(mark(X)))
[197] mark(U241(X1,X2,X3)) -> active(U241(mark(X1),X2,X3))
[198] mark(U242(X1,X2,X3)) -> active(U242(mark(X1),X2,X3))
[199] mark(U243(X1,X2,X3)) -> active(U243(mark(X1),X2,X3))
[200] mark(U244(X1,X2,X3)) -> active(U244(mark(X1),X2,X3))
[201] mark(U245(X1,X2)) -> active(U245(mark(X1),X2))
[202] mark(U246(X)) -> active(U246(mark(X)))
[203] mark(U251(X1,X2,X3)) -> active(U251(mark(X1),X2,X3))
[204] mark(U252(X1,X2,X3)) -> active(U252(mark(X1),X2,X3))
[205] mark(U253(X1,X2,X3)) -> active(U253(mark(X1),X2,X3))
[206] mark(U254(X1,X2,X3)) -> active(U254(mark(X1),X2,X3))
[207] mark(U255(X1,X2)) -> active(U255(mark(X1),X2))
[208] mark(U256(X)) -> active(U256(mark(X)))
[209] mark(U261(X1,X2)) -> active(U261(mark(X1),X2))
[210] mark(U262(X)) -> active(U262(mark(X)))
[211] mark(U271(X1,X2)) -> active(U271(mark(X1),X2))
[212] mark(U272(X)) -> active(U272(mark(X)))
[213] mark(U281(X1,X2)) -> active(U281(mark(X1),X2))
[214] mark(U282(X1,X2)) -> active(U282(mark(X1),X2))
[215] mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
[216] mark(natsFrom(X)) -> active(natsFrom(mark(X)))
[217] mark(s(X)) -> active(s(mark(X)))
[218] mark(U291(X1,X2,X3)) -> active(U291(mark(X1),X2,X3))
[219] mark(U292(X1,X2,X3)) -> active(U292(mark(X1),X2,X3))
[220] mark(U293(X1,X2,X3)) -> active(U293(mark(X1),X2,X3))
[221] mark(U294(X1,X2,X3)) -> active(U294(mark(X1),X2,X3))
[222] mark(head(X)) -> active(head(mark(X)))
[223] mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2)))
[224] mark(U301(X1,X2,X3)) -> active(U301(mark(X1),X2,X3))
[225] mark(U302(X1,X2)) -> active(U302(mark(X1),X2))
[226] mark(U303(X1,X2)) -> active(U303(mark(X1),X2))
[227] mark(U304(X1,X2)) -> active(U304(mark(X1),X2))
[228] mark(U31(X1,X2,X3)) -> active(U31(mark(X1),X2,X3))
[229] mark(U32(X1,X2,X3)) -> active(U32(mark(X1),X2,X3))
[230] mark(U311(X1,X2)) -> active(U311(mark(X1),X2))
[231] mark(U312(X1,X2)) -> active(U312(mark(X1),X2))
[232] mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2)))
[233] mark(nil) -> active(nil)
[234] mark(U33(X1,X2,X3)) -> active(U33(mark(X1),X2,X3))
[235] mark(U321(X1,X2,X3,X4)) -> active(U321(mark(X1),X2,X3,X4))
[236] mark(U322(X1,X2,X3,X4)) -> active(U322(mark(X1),X2,X3,X4))
[237] mark(U323(X1,X2,X3,X4)) -> active(U323(mark(X1),X2,X3,X4))
[238] mark(U324(X1,X2,X3,X4)) -> active(U324(mark(X1),X2,X3,X4))
[239] mark(U325(X1,X2,X3,X4)) -> active(U325(mark(X1),X2,X3,X4))
[240] mark(U326(X1,X2,X3,X4)) -> active(U326(mark(X1),X2,X3,X4))
[241] mark(U327(X1,X2)) -> active(U327(mark(X1),X2))
[242] mark(U34(X1,X2)) -> active(U34(mark(X1),X2))
[243] mark(U331(X1,X2,X3)) -> active(U331(mark(X1),X2,X3))
[244] mark(U332(X1,X2)) -> active(U332(mark(X1),X2))
[245] mark(U333(X1,X2)) -> active(U333(mark(X1),X2))
[246] mark(U334(X1,X2)) -> active(U334(mark(X1),X2))
[247] mark(U341(X1,X2,X3)) -> active(U341(mark(X1),X2,X3))
[248] mark(U342(X1,X2,X3)) -> active(U342(mark(X1),X2,X3))
[249] mark(U343(X1,X2,X3)) -> active(U343(mark(X1),X2,X3))
[250] mark(U344(X1,X2,X3)) -> active(U344(mark(X1),X2,X3))
[251] mark(fst(X)) -> active(fst(mark(X)))
[252] mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3))
[253] mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3))
[254] mark(U43(X1,X2,X3)) -> active(U43(mark(X1),X2,X3))
[255] mark(U44(X1,X2,X3)) -> active(U44(mark(X1),X2,X3))
[256] mark(U45(X1,X2)) -> active(U45(mark(X1),X2))
[257] mark(U46(X)) -> active(U46(mark(X)))
[258] mark(U51(X1,X2,X3)) -> active(U51(mark(X1),X2,X3))
[259] mark(U52(X1,X2,X3)) -> active(U52(mark(X1),X2,X3))
[260] mark(U53(X1,X2,X3)) -> active(U53(mark(X1),X2,X3))
[261] mark(U54(X1,X2,X3)) -> active(U54(mark(X1),X2,X3))
[262] mark(U55(X1,X2)) -> active(U55(mark(X1),X2))
[263] mark(U56(X)) -> active(U56(mark(X)))
[264] mark(U61(X1,X2)) -> active(U61(mark(X1),X2))
[265] mark(U62(X1,X2)) -> active(U62(mark(X1),X2))
[266] mark(isPLNatKind(X)) -> active(isPLNatKind(X))
[267] mark(U63(X)) -> active(U63(mark(X)))
[268] mark(isPLNat(X)) -> active(isPLNat(X))
[269] mark(U71(X1,X2)) -> active(U71(mark(X1),X2))
[270] mark(U72(X1,X2)) -> active(U72(mark(X1),X2))
[271] mark(U73(X)) -> active(U73(mark(X)))
[272] mark(U81(X1,X2)) -> active(U81(mark(X1),X2))
[273] mark(U82(X1,X2)) -> active(U82(mark(X1),X2))
[274] mark(U83(X)) -> active(U83(mark(X)))
[275] mark(U91(X1,X2)) -> active(U91(mark(X1),X2))
[276] mark(U92(X1,X2)) -> active(U92(mark(X1),X2))
[277] mark(U93(X)) -> active(U93(mark(X)))
[278] mark(tail(X)) -> active(tail(mark(X)))
[279] mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
[280] mark(0) -> active(0)
[281] mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2)))
[282] U101(mark(X1),X2,X3) -> U101(X1,X2,X3)
[283] U101(X1,mark(X2),X3) -> U101(X1,X2,X3)
[284] U101(X1,X2,mark(X3)) -> U101(X1,X2,X3)
[285] U101(active(X1),X2,X3) -> U101(X1,X2,X3)
[286] U101(X1,active(X2),X3) -> U101(X1,X2,X3)
[287] U101(X1,X2,active(X3)) -> U101(X1,X2,X3)
[288] U102(mark(X1),X2,X3) -> U102(X1,X2,X3)
[289] U102(X1,mark(X2),X3) -> U102(X1,X2,X3)
[290] U102(X1,X2,mark(X3)) -> U102(X1,X2,X3)
[291] U102(active(X1),X2,X3) -> U102(X1,X2,X3)
[292] U102(X1,active(X2),X3) -> U102(X1,X2,X3)
[293] U102(X1,X2,active(X3)) -> U102(X1,X2,X3)
[294] isNaturalKind(mark(X)) -> isNaturalKind(X)
[295] isNaturalKind(active(X)) -> isNaturalKind(X)
[296] U103(mark(X1),X2,X3) -> U103(X1,X2,X3)
[297] U103(X1,mark(X2),X3) -> U103(X1,X2,X3)
[298] U103(X1,X2,mark(X3)) -> U103(X1,X2,X3)
[299] U103(active(X1),X2,X3) -> U103(X1,X2,X3)
[300] U103(X1,active(X2),X3) -> U103(X1,X2,X3)
[301] U103(X1,X2,active(X3)) -> U103(X1,X2,X3)
[302] isLNatKind(mark(X)) -> isLNatKind(X)
[303] isLNatKind(active(X)) -> isLNatKind(X)
[304] U104(mark(X1),X2,X3) -> U104(X1,X2,X3)
[305] U104(X1,mark(X2),X3) -> U104(X1,X2,X3)
[306] U104(X1,X2,mark(X3)) -> U104(X1,X2,X3)
[307] U104(active(X1),X2,X3) -> U104(X1,X2,X3)
[308] U104(X1,active(X2),X3) -> U104(X1,X2,X3)
[309] U104(X1,X2,active(X3)) -> U104(X1,X2,X3)
[310] U105(mark(X1),X2) -> U105(X1,X2)
[311] U105(X1,mark(X2)) -> U105(X1,X2)
[312] U105(active(X1),X2) -> U105(X1,X2)
[313] U105(X1,active(X2)) -> U105(X1,X2)
[314] isNatural(mark(X)) -> isNatural(X)
[315] isNatural(active(X)) -> isNatural(X)
[316] U106(mark(X)) -> U106(X)
[317] U106(active(X)) -> U106(X)
[318] isLNat(mark(X)) -> isLNat(X)
[319] isLNat(active(X)) -> isLNat(X)
[320] U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
[321] U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
[322] U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
[323] U11(active(X1),X2,X3) -> U11(X1,X2,X3)
[324] U11(X1,active(X2),X3) -> U11(X1,X2,X3)
[325] U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
[326] U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
[327] U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
[328] U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
[329] U12(active(X1),X2,X3) -> U12(X1,X2,X3)
[330] U12(X1,active(X2),X3) -> U12(X1,X2,X3)
[331] U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
[332] U111(mark(X1),X2) -> U111(X1,X2)
[333] U111(X1,mark(X2)) -> U111(X1,X2)
[334] U111(active(X1),X2) -> U111(X1,X2)
[335] U111(X1,active(X2)) -> U111(X1,X2)
[336] U112(mark(X)) -> U112(X)
[337] U112(active(X)) -> U112(X)
[338] U13(mark(X1),X2,X3) -> U13(X1,X2,X3)
[339] U13(X1,mark(X2),X3) -> U13(X1,X2,X3)
[340] U13(X1,X2,mark(X3)) -> U13(X1,X2,X3)
[341] U13(active(X1),X2,X3) -> U13(X1,X2,X3)
[342] U13(X1,active(X2),X3) -> U13(X1,X2,X3)
[343] U13(X1,X2,active(X3)) -> U13(X1,X2,X3)
[344] U121(mark(X1),X2) -> U121(X1,X2)
[345] U121(X1,mark(X2)) -> U121(X1,X2)
[346] U121(active(X1),X2) -> U121(X1,X2)
[347] U121(X1,active(X2)) -> U121(X1,X2)
[348] U122(mark(X)) -> U122(X)
[349] U122(active(X)) -> U122(X)
[350] U14(mark(X1),X2,X3) -> U14(X1,X2,X3)
[351] U14(X1,mark(X2),X3) -> U14(X1,X2,X3)
[352] U14(X1,X2,mark(X3)) -> U14(X1,X2,X3)
[353] U14(active(X1),X2,X3) -> U14(X1,X2,X3)
[354] U14(X1,active(X2),X3) -> U14(X1,X2,X3)
[355] U14(X1,X2,active(X3)) -> U14(X1,X2,X3)
[356] U131(mark(X)) -> U131(X)
[357] U131(active(X)) -> U131(X)
[358] snd(mark(X)) -> snd(X)
[359] snd(active(X)) -> snd(X)
[360] splitAt(mark(X1),X2) -> splitAt(X1,X2)
[361] splitAt(X1,mark(X2)) -> splitAt(X1,X2)
[362] splitAt(active(X1),X2) -> splitAt(X1,X2)
[363] splitAt(X1,active(X2)) -> splitAt(X1,X2)
[364] U141(mark(X)) -> U141(X)
[365] U141(active(X)) -> U141(X)
[366] U151(mark(X)) -> U151(X)
[367] U151(active(X)) -> U151(X)
[368] U161(mark(X)) -> U161(X)
[369] U161(active(X)) -> U161(X)
[370] U171(mark(X1),X2) -> U171(X1,X2)
[371] U171(X1,mark(X2)) -> U171(X1,X2)
[372] U171(active(X1),X2) -> U171(X1,X2)
[373] U171(X1,active(X2)) -> U171(X1,X2)
[374] U172(mark(X)) -> U172(X)
[375] U172(active(X)) -> U172(X)
[376] U181(mark(X1),X2) -> U181(X1,X2)
[377] U181(X1,mark(X2)) -> U181(X1,X2)
[378] U181(active(X1),X2) -> U181(X1,X2)
[379] U181(X1,active(X2)) -> U181(X1,X2)
[380] U182(mark(X1),X2) -> U182(X1,X2)
[381] U182(X1,mark(X2)) -> U182(X1,X2)
[382] U182(active(X1),X2) -> U182(X1,X2)
[383] U182(X1,active(X2)) -> U182(X1,X2)
[384] U183(mark(X)) -> U183(X)
[385] U183(active(X)) -> U183(X)
[386] U191(mark(X1),X2) -> U191(X1,X2)
[387] U191(X1,mark(X2)) -> U191(X1,X2)
[388] U191(active(X1),X2) -> U191(X1,X2)
[389] U191(X1,active(X2)) -> U191(X1,X2)
[390] U192(mark(X1),X2) -> U192(X1,X2)
[391] U192(X1,mark(X2)) -> U192(X1,X2)
[392] U192(active(X1),X2) -> U192(X1,X2)
[393] U192(X1,active(X2)) -> U192(X1,X2)
[394] U193(mark(X)) -> U193(X)
[395] U193(active(X)) -> U193(X)
[396] U201(mark(X1),X2,X3) -> U201(X1,X2,X3)
[397] U201(X1,mark(X2),X3) -> U201(X1,X2,X3)
[398] U201(X1,X2,mark(X3)) -> U201(X1,X2,X3)
[399] U201(active(X1),X2,X3) -> U201(X1,X2,X3)
[400] U201(X1,active(X2),X3) -> U201(X1,X2,X3)
[401] U201(X1,X2,active(X3)) -> U201(X1,X2,X3)
[402] U202(mark(X1),X2,X3) -> U202(X1,X2,X3)
[403] U202(X1,mark(X2),X3) -> U202(X1,X2,X3)
[404] U202(X1,X2,mark(X3)) -> U202(X1,X2,X3)
[405] U202(active(X1),X2,X3) -> U202(X1,X2,X3)
[406] U202(X1,active(X2),X3) -> U202(X1,X2,X3)
[407] U202(X1,X2,active(X3)) -> U202(X1,X2,X3)
[408] U203(mark(X1),X2,X3) -> U203(X1,X2,X3)
[409] U203(X1,mark(X2),X3) -> U203(X1,X2,X3)
[410] U203(X1,X2,mark(X3)) -> U203(X1,X2,X3)
[411] U203(active(X1),X2,X3) -> U203(X1,X2,X3)
[412] U203(X1,active(X2),X3) -> U203(X1,X2,X3)
[413] U203(X1,X2,active(X3)) -> U203(X1,X2,X3)
[414] U204(mark(X1),X2,X3) -> U204(X1,X2,X3)
[415] U204(X1,mark(X2),X3) -> U204(X1,X2,X3)
[416] U204(X1,X2,mark(X3)) -> U204(X1,X2,X3)
[417] U204(active(X1),X2,X3) -> U204(X1,X2,X3)
[418] U204(X1,active(X2),X3) -> U204(X1,X2,X3)
[419] U204(X1,X2,active(X3)) -> U204(X1,X2,X3)
[420] U205(mark(X1),X2) -> U205(X1,X2)
[421] U205(X1,mark(X2)) -> U205(X1,X2)
[422] U205(active(X1),X2) -> U205(X1,X2)
[423] U205(X1,active(X2)) -> U205(X1,X2)
[424] U206(mark(X)) -> U206(X)
[425] U206(active(X)) -> U206(X)
[426] U21(mark(X1),X2,X3) -> U21(X1,X2,X3)
[427] U21(X1,mark(X2),X3) -> U21(X1,X2,X3)
[428] U21(X1,X2,mark(X3)) -> U21(X1,X2,X3)
[429] U21(active(X1),X2,X3) -> U21(X1,X2,X3)
[430] U21(X1,active(X2),X3) -> U21(X1,X2,X3)
[431] U21(X1,X2,active(X3)) -> U21(X1,X2,X3)
[432] U22(mark(X1),X2,X3) -> U22(X1,X2,X3)
[433] U22(X1,mark(X2),X3) -> U22(X1,X2,X3)
[434] U22(X1,X2,mark(X3)) -> U22(X1,X2,X3)
[435] U22(active(X1),X2,X3) -> U22(X1,X2,X3)
[436] U22(X1,active(X2),X3) -> U22(X1,X2,X3)
[437] U22(X1,X2,active(X3)) -> U22(X1,X2,X3)
[438] U211(mark(X)) -> U211(X)
[439] U211(active(X)) -> U211(X)
[440] U23(mark(X1),X2,X3) -> U23(X1,X2,X3)
[441] U23(X1,mark(X2),X3) -> U23(X1,X2,X3)
[442] U23(X1,X2,mark(X3)) -> U23(X1,X2,X3)
[443] U23(active(X1),X2,X3) -> U23(X1,X2,X3)
[444] U23(X1,active(X2),X3) -> U23(X1,X2,X3)
[445] U23(X1,X2,active(X3)) -> U23(X1,X2,X3)
[446] U221(mark(X)) -> U221(X)
[447] U221(active(X)) -> U221(X)
[448] U24(mark(X1),X2) -> U24(X1,X2)
[449] U24(X1,mark(X2)) -> U24(X1,X2)
[450] U24(active(X1),X2) -> U24(X1,X2)
[451] U24(X1,active(X2)) -> U24(X1,X2)
[452] U231(mark(X1),X2) -> U231(X1,X2)
[453] U231(X1,mark(X2)) -> U231(X1,X2)
[454] U231(active(X1),X2) -> U231(X1,X2)
[455] U231(X1,active(X2)) -> U231(X1,X2)
[456] U232(mark(X)) -> U232(X)
[457] U232(active(X)) -> U232(X)
[458] U241(mark(X1),X2,X3) -> U241(X1,X2,X3)
[459] U241(X1,mark(X2),X3) -> U241(X1,X2,X3)
[460] U241(X1,X2,mark(X3)) -> U241(X1,X2,X3)
[461] U241(active(X1),X2,X3) -> U241(X1,X2,X3)
[462] U241(X1,active(X2),X3) -> U241(X1,X2,X3)
[463] U241(X1,X2,active(X3)) -> U241(X1,X2,X3)
[464] U242(mark(X1),X2,X3) -> U242(X1,X2,X3)
[465] U242(X1,mark(X2),X3) -> U242(X1,X2,X3)
[466] U242(X1,X2,mark(X3)) -> U242(X1,X2,X3)
[467] U242(active(X1),X2,X3) -> U242(X1,X2,X3)
[468] U242(X1,active(X2),X3) -> U242(X1,X2,X3)
[469] U242(X1,X2,active(X3)) -> U242(X1,X2,X3)
[470] U243(mark(X1),X2,X3) -> U243(X1,X2,X3)
[471] U243(X1,mark(X2),X3) -> U243(X1,X2,X3)
[472] U243(X1,X2,mark(X3)) -> U243(X1,X2,X3)
[473] U243(active(X1),X2,X3) -> U243(X1,X2,X3)
[474] U243(X1,active(X2),X3) -> U243(X1,X2,X3)
[475] U243(X1,X2,active(X3)) -> U243(X1,X2,X3)
[476] U244(mark(X1),X2,X3) -> U244(X1,X2,X3)
[477] U244(X1,mark(X2),X3) -> U244(X1,X2,X3)
[478] U244(X1,X2,mark(X3)) -> U244(X1,X2,X3)
[479] U244(active(X1),X2,X3) -> U244(X1,X2,X3)
[480] U244(X1,active(X2),X3) -> U244(X1,X2,X3)
[481] U244(X1,X2,active(X3)) -> U244(X1,X2,X3)
[482] U245(mark(X1),X2) -> U245(X1,X2)
[483] U245(X1,mark(X2)) -> U245(X1,X2)
[484] U245(active(X1),X2) -> U245(X1,X2)
[485] U245(X1,active(X2)) -> U245(X1,X2)
[486] U246(mark(X)) -> U246(X)
[487] U246(active(X)) -> U246(X)
[488] U251(mark(X1),X2,X3) -> U251(X1,X2,X3)
[489] U251(X1,mark(X2),X3) -> U251(X1,X2,X3)
[490] U251(X1,X2,mark(X3)) -> U251(X1,X2,X3)
[491] U251(active(X1),X2,X3) -> U251(X1,X2,X3)
[492] U251(X1,active(X2),X3) -> U251(X1,X2,X3)
[493] U251(X1,X2,active(X3)) -> U251(X1,X2,X3)
[494] U252(mark(X1),X2,X3) -> U252(X1,X2,X3)
[495] U252(X1,mark(X2),X3) -> U252(X1,X2,X3)
[496] U252(X1,X2,mark(X3)) -> U252(X1,X2,X3)
[497] U252(active(X1),X2,X3) -> U252(X1,X2,X3)
[498] U252(X1,active(X2),X3) -> U252(X1,X2,X3)
[499] U252(X1,X2,active(X3)) -> U252(X1,X2,X3)
[500] U253(mark(X1),X2,X3) -> U253(X1,X2,X3)
[501] U253(X1,mark(X2),X3) -> U253(X1,X2,X3)
[502] U253(X1,X2,mark(X3)) -> U253(X1,X2,X3)
[503] U253(active(X1),X2,X3) -> U253(X1,X2,X3)
[504] U253(X1,active(X2),X3) -> U253(X1,X2,X3)
[505] U253(X1,X2,active(X3)) -> U253(X1,X2,X3)
[506] U254(mark(X1),X2,X3) -> U254(X1,X2,X3)
[507] U254(X1,mark(X2),X3) -> U254(X1,X2,X3)
[508] U254(X1,X2,mark(X3)) -> U254(X1,X2,X3)
[509] U254(active(X1),X2,X3) -> U254(X1,X2,X3)
[510] U254(X1,active(X2),X3) -> U254(X1,X2,X3)
[511] U254(X1,X2,active(X3)) -> U254(X1,X2,X3)
[512] U255(mark(X1),X2) -> U255(X1,X2)
[513] U255(X1,mark(X2)) -> U255(X1,X2)
[514] U255(active(X1),X2) -> U255(X1,X2)
[515] U255(X1,active(X2)) -> U255(X1,X2)
[516] U256(mark(X)) -> U256(X)
[517] U256(active(X)) -> U256(X)
[518] U261(mark(X1),X2) -> U261(X1,X2)
[519] U261(X1,mark(X2)) -> U261(X1,X2)
[520] U261(active(X1),X2) -> U261(X1,X2)
[521] U261(X1,active(X2)) -> U261(X1,X2)
[522] U262(mark(X)) -> U262(X)
[523] U262(active(X)) -> U262(X)
[524] U271(mark(X1),X2) -> U271(X1,X2)
[525] U271(X1,mark(X2)) -> U271(X1,X2)
[526] U271(active(X1),X2) -> U271(X1,X2)
[527] U271(X1,active(X2)) -> U271(X1,X2)
[528] U272(mark(X)) -> U272(X)
[529] U272(active(X)) -> U272(X)
[530] U281(mark(X1),X2) -> U281(X1,X2)
[531] U281(X1,mark(X2)) -> U281(X1,X2)
[532] U281(active(X1),X2) -> U281(X1,X2)
[533] U281(X1,active(X2)) -> U281(X1,X2)
[534] U282(mark(X1),X2) -> U282(X1,X2)
[535] U282(X1,mark(X2)) -> U282(X1,X2)
[536] U282(active(X1),X2) -> U282(X1,X2)
[537] U282(X1,active(X2)) -> U282(X1,X2)
[538] cons(mark(X1),X2) -> cons(X1,X2)
[539] cons(X1,mark(X2)) -> cons(X1,X2)
[540] cons(active(X1),X2) -> cons(X1,X2)
[541] cons(X1,active(X2)) -> cons(X1,X2)
[542] natsFrom(mark(X)) -> natsFrom(X)
[543] natsFrom(active(X)) -> natsFrom(X)
[544] s(mark(X)) -> s(X)
[545] s(active(X)) -> s(X)
[546] U291(mark(X1),X2,X3) -> U291(X1,X2,X3)
[547] U291(X1,mark(X2),X3) -> U291(X1,X2,X3)
[548] U291(X1,X2,mark(X3)) -> U291(X1,X2,X3)
[549] U291(active(X1),X2,X3) -> U291(X1,X2,X3)
[550] U291(X1,active(X2),X3) -> U291(X1,X2,X3)
[551] U291(X1,X2,active(X3)) -> U291(X1,X2,X3)
[552] U292(mark(X1),X2,X3) -> U292(X1,X2,X3)
[553] U292(X1,mark(X2),X3) -> U292(X1,X2,X3)
[554] U292(X1,X2,mark(X3)) -> U292(X1,X2,X3)
[555] U292(active(X1),X2,X3) -> U292(X1,X2,X3)
[556] U292(X1,active(X2),X3) -> U292(X1,X2,X3)
[557] U292(X1,X2,active(X3)) -> U292(X1,X2,X3)
[558] U293(mark(X1),X2,X3) -> U293(X1,X2,X3)
[559] U293(X1,mark(X2),X3) -> U293(X1,X2,X3)
[560] U293(X1,X2,mark(X3)) -> U293(X1,X2,X3)
[561] U293(active(X1),X2,X3) -> U293(X1,X2,X3)
[562] U293(X1,active(X2),X3) -> U293(X1,X2,X3)
[563] U293(X1,X2,active(X3)) -> U293(X1,X2,X3)
[564] U294(mark(X1),X2,X3) -> U294(X1,X2,X3)
[565] U294(X1,mark(X2),X3) -> U294(X1,X2,X3)
[566] U294(X1,X2,mark(X3)) -> U294(X1,X2,X3)
[567] U294(active(X1),X2,X3) -> U294(X1,X2,X3)
[568] U294(X1,active(X2),X3) -> U294(X1,X2,X3)
[569] U294(X1,X2,active(X3)) -> U294(X1,X2,X3)
[570] head(mark(X)) -> head(X)
[571] head(active(X)) -> head(X)
[572] afterNth(mark(X1),X2) -> afterNth(X1,X2)
[573] afterNth(X1,mark(X2)) -> afterNth(X1,X2)
[574] afterNth(active(X1),X2) -> afterNth(X1,X2)
[575] afterNth(X1,active(X2)) -> afterNth(X1,X2)
[576] U301(mark(X1),X2,X3) -> U301(X1,X2,X3)
[577] U301(X1,mark(X2),X3) -> U301(X1,X2,X3)
[578] U301(X1,X2,mark(X3)) -> U301(X1,X2,X3)
[579] U301(active(X1),X2,X3) -> U301(X1,X2,X3)
[580] U301(X1,active(X2),X3) -> U301(X1,X2,X3)
[581] U301(X1,X2,active(X3)) -> U301(X1,X2,X3)
[582] U302(mark(X1),X2) -> U302(X1,X2)
[583] U302(X1,mark(X2)) -> U302(X1,X2)
[584] U302(active(X1),X2) -> U302(X1,X2)
[585] U302(X1,active(X2)) -> U302(X1,X2)
[586] U303(mark(X1),X2) -> U303(X1,X2)
[587] U303(X1,mark(X2)) -> U303(X1,X2)
[588] U303(active(X1),X2) -> U303(X1,X2)
[589] U303(X1,active(X2)) -> U303(X1,X2)
[590] U304(mark(X1),X2) -> U304(X1,X2)
[591] U304(X1,mark(X2)) -> U304(X1,X2)
[592] U304(active(X1),X2) -> U304(X1,X2)
[593] U304(X1,active(X2)) -> U304(X1,X2)
[594] U31(mark(X1),X2,X3) -> U31(X1,X2,X3)
[595] U31(X1,mark(X2),X3) -> U31(X1,X2,X3)
[596] U31(X1,X2,mark(X3)) -> U31(X1,X2,X3)
[597] U31(active(X1),X2,X3) -> U31(X1,X2,X3)
[598] U31(X1,active(X2),X3) -> U31(X1,X2,X3)
[599] U31(X1,X2,active(X3)) -> U31(X1,X2,X3)
[600] U32(mark(X1),X2,X3) -> U32(X1,X2,X3)
[601] U32(X1,mark(X2),X3) -> U32(X1,X2,X3)
[602] U32(X1,X2,mark(X3)) -> U32(X1,X2,X3)
[603] U32(active(X1),X2,X3) -> U32(X1,X2,X3)
[604] U32(X1,active(X2),X3) -> U32(X1,X2,X3)
[605] U32(X1,X2,active(X3)) -> U32(X1,X2,X3)
[606] U311(mark(X1),X2) -> U311(X1,X2)
[607] U311(X1,mark(X2)) -> U311(X1,X2)
[608] U311(active(X1),X2) -> U311(X1,X2)
[609] U311(X1,active(X2)) -> U311(X1,X2)
[610] U312(mark(X1),X2) -> U312(X1,X2)
[611] U312(X1,mark(X2)) -> U312(X1,X2)
[612] U312(active(X1),X2) -> U312(X1,X2)
[613] U312(X1,active(X2)) -> U312(X1,X2)
[614] pair(mark(X1),X2) -> pair(X1,X2)
[615] pair(X1,mark(X2)) -> pair(X1,X2)
[616] pair(active(X1),X2) -> pair(X1,X2)
[617] pair(X1,active(X2)) -> pair(X1,X2)
[618] U33(mark(X1),X2,X3) -> U33(X1,X2,X3)
[619] U33(X1,mark(X2),X3) -> U33(X1,X2,X3)
[620] U33(X1,X2,mark(X3)) -> U33(X1,X2,X3)
[621] U33(active(X1),X2,X3) -> U33(X1,X2,X3)
[622] U33(X1,active(X2),X3) -> U33(X1,X2,X3)
[623] U33(X1,X2,active(X3)) -> U33(X1,X2,X3)
[624] U321(mark(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
[625] U321(X1,mark(X2),X3,X4) -> U321(X1,X2,X3,X4)
[626] U321(X1,X2,mark(X3),X4) -> U321(X1,X2,X3,X4)
[627] U321(X1,X2,X3,mark(X4)) -> U321(X1,X2,X3,X4)
[628] U321(active(X1),X2,X3,X4) -> U321(X1,X2,X3,X4)
[629] U321(X1,active(X2),X3,X4) -> U321(X1,X2,X3,X4)
[630] U321(X1,X2,active(X3),X4) -> U321(X1,X2,X3,X4)
[631] U321(X1,X2,X3,active(X4)) -> U321(X1,X2,X3,X4)
[632] U322(mark(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
[633] U322(X1,mark(X2),X3,X4) -> U322(X1,X2,X3,X4)
[634] U322(X1,X2,mark(X3),X4) -> U322(X1,X2,X3,X4)
[635] U322(X1,X2,X3,mark(X4)) -> U322(X1,X2,X3,X4)
[636] U322(active(X1),X2,X3,X4) -> U322(X1,X2,X3,X4)
[637] U322(X1,active(X2),X3,X4) -> U322(X1,X2,X3,X4)
[638] U322(X1,X2,active(X3),X4) -> U322(X1,X2,X3,X4)
[639] U322(X1,X2,X3,active(X4)) -> U322(X1,X2,X3,X4)
[640] U323(mark(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
[641] U323(X1,mark(X2),X3,X4) -> U323(X1,X2,X3,X4)
[642] U323(X1,X2,mark(X3),X4) -> U323(X1,X2,X3,X4)
[643] U323(X1,X2,X3,mark(X4)) -> U323(X1,X2,X3,X4)
[644] U323(active(X1),X2,X3,X4) -> U323(X1,X2,X3,X4)
[645] U323(X1,active(X2),X3,X4) -> U323(X1,X2,X3,X4)
[646] U323(X1,X2,active(X3),X4) -> U323(X1,X2,X3,X4)
[647] U323(X1,X2,X3,active(X4)) -> U323(X1,X2,X3,X4)
[648] U324(mark(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
[649] U324(X1,mark(X2),X3,X4) -> U324(X1,X2,X3,X4)
[650] U324(X1,X2,mark(X3),X4) -> U324(X1,X2,X3,X4)
[651] U324(X1,X2,X3,mark(X4)) -> U324(X1,X2,X3,X4)
[652] U324(active(X1),X2,X3,X4) -> U324(X1,X2,X3,X4)
[653] U324(X1,active(X2),X3,X4) -> U324(X1,X2,X3,X4)
[654] U324(X1,X2,active(X3),X4) -> U324(X1,X2,X3,X4)
[655] U324(X1,X2,X3,active(X4)) -> U324(X1,X2,X3,X4)
[656] U325(mark(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
[657] U325(X1,mark(X2),X3,X4) -> U325(X1,X2,X3,X4)
[658] U325(X1,X2,mark(X3),X4) -> U325(X1,X2,X3,X4)
[659] U325(X1,X2,X3,mark(X4)) -> U325(X1,X2,X3,X4)
[660] U325(active(X1),X2,X3,X4) -> U325(X1,X2,X3,X4)
[661] U325(X1,active(X2),X3,X4) -> U325(X1,X2,X3,X4)
[662] U325(X1,X2,active(X3),X4) -> U325(X1,X2,X3,X4)
[663] U325(X1,X2,X3,active(X4)) -> U325(X1,X2,X3,X4)
[664] U326(mark(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
[665] U326(X1,mark(X2),X3,X4) -> U326(X1,X2,X3,X4)
[666] U326(X1,X2,mark(X3),X4) -> U326(X1,X2,X3,X4)
[667] U326(X1,X2,X3,mark(X4)) -> U326(X1,X2,X3,X4)
[668] U326(active(X1),X2,X3,X4) -> U326(X1,X2,X3,X4)
[669] U326(X1,active(X2),X3,X4) -> U326(X1,X2,X3,X4)
[670] U326(X1,X2,active(X3),X4) -> U326(X1,X2,X3,X4)
[671] U326(X1,X2,X3,active(X4)) -> U326(X1,X2,X3,X4)
[672] U327(mark(X1),X2) -> U327(X1,X2)
[673] U327(X1,mark(X2)) -> U327(X1,X2)
[674] U327(active(X1),X2) -> U327(X1,X2)
[675] U327(X1,active(X2)) -> U327(X1,X2)
[676] U34(mark(X1),X2) -> U34(X1,X2)
[677] U34(X1,mark(X2)) -> U34(X1,X2)
[678] U34(active(X1),X2) -> U34(X1,X2)
[679] U34(X1,active(X2)) -> U34(X1,X2)
[680] U331(mark(X1),X2,X3) -> U331(X1,X2,X3)
[681] U331(X1,mark(X2),X3) -> U331(X1,X2,X3)
[682] U331(X1,X2,mark(X3)) -> U331(X1,X2,X3)
[683] U331(active(X1),X2,X3) -> U331(X1,X2,X3)
[684] U331(X1,active(X2),X3) -> U331(X1,X2,X3)
[685] U331(X1,X2,active(X3)) -> U331(X1,X2,X3)
[686] U332(mark(X1),X2) -> U332(X1,X2)
[687] U332(X1,mark(X2)) -> U332(X1,X2)
[688] U332(active(X1),X2) -> U332(X1,X2)
[689] U332(X1,active(X2)) -> U332(X1,X2)
[690] U333(mark(X1),X2) -> U333(X1,X2)
[691] U333(X1,mark(X2)) -> U333(X1,X2)
[692] U333(active(X1),X2) -> U333(X1,X2)
[693] U333(X1,active(X2)) -> U333(X1,X2)
[694] U334(mark(X1),X2) -> U334(X1,X2)
[695] U334(X1,mark(X2)) -> U334(X1,X2)
[696] U334(active(X1),X2) -> U334(X1,X2)
[697] U334(X1,active(X2)) -> U334(X1,X2)
[698] U341(mark(X1),X2,X3) -> U341(X1,X2,X3)
[699] U341(X1,mark(X2),X3) -> U341(X1,X2,X3)
[700] U341(X1,X2,mark(X3)) -> U341(X1,X2,X3)
[701] U341(active(X1),X2,X3) -> U341(X1,X2,X3)
[702] U341(X1,active(X2),X3) -> U341(X1,X2,X3)
[703] U341(X1,X2,active(X3)) -> U341(X1,X2,X3)
[704] U342(mark(X1),X2,X3) -> U342(X1,X2,X3)
[705] U342(X1,mark(X2),X3) -> U342(X1,X2,X3)
[706] U342(X1,X2,mark(X3)) -> U342(X1,X2,X3)
[707] U342(active(X1),X2,X3) -> U342(X1,X2,X3)
[708] U342(X1,active(X2),X3) -> U342(X1,X2,X3)
[709] U342(X1,X2,active(X3)) -> U342(X1,X2,X3)
[710] U343(mark(X1),X2,X3) -> U343(X1,X2,X3)
[711] U343(X1,mark(X2),X3) -> U343(X1,X2,X3)
[712] U343(X1,X2,mark(X3)) -> U343(X1,X2,X3)
[713] U343(active(X1),X2,X3) -> U343(X1,X2,X3)
[714] U343(X1,active(X2),X3) -> U343(X1,X2,X3)
[715] U343(X1,X2,active(X3)) -> U343(X1,X2,X3)
[716] U344(mark(X1),X2,X3) -> U344(X1,X2,X3)
[717] U344(X1,mark(X2),X3) -> U344(X1,X2,X3)
[718] U344(X1,X2,mark(X3)) -> U344(X1,X2,X3)
[719] U344(active(X1),X2,X3) -> U344(X1,X2,X3)
[720] U344(X1,active(X2),X3) -> U344(X1,X2,X3)
[721] U344(X1,X2,active(X3)) -> U344(X1,X2,X3)
[722] fst(mark(X)) -> fst(X)
[723] fst(active(X)) -> fst(X)
[724] U41(mark(X1),X2,X3) -> U41(X1,X2,X3)
[725] U41(X1,mark(X2),X3) -> U41(X1,X2,X3)
[726] U41(X1,X2,mark(X3)) -> U41(X1,X2,X3)
[727] U41(active(X1),X2,X3) -> U41(X1,X2,X3)
[728] U41(X1,active(X2),X3) -> U41(X1,X2,X3)
[729] U41(X1,X2,active(X3)) -> U41(X1,X2,X3)
[730] U42(mark(X1),X2,X3) -> U42(X1,X2,X3)
[731] U42(X1,mark(X2),X3) -> U42(X1,X2,X3)
[732] U42(X1,X2,mark(X3)) -> U42(X1,X2,X3)
[733] U42(active(X1),X2,X3) -> U42(X1,X2,X3)
[734] U42(X1,active(X2),X3) -> U42(X1,X2,X3)
[735] U42(X1,X2,active(X3)) -> U42(X1,X2,X3)
[736] U43(mark(X1),X2,X3) -> U43(X1,X2,X3)
[737] U43(X1,mark(X2),X3) -> U43(X1,X2,X3)
[738] U43(X1,X2,mark(X3)) -> U43(X1,X2,X3)
[739] U43(active(X1),X2,X3) -> U43(X1,X2,X3)
[740] U43(X1,active(X2),X3) -> U43(X1,X2,X3)
[741] U43(X1,X2,active(X3)) -> U43(X1,X2,X3)
[742] U44(mark(X1),X2,X3) -> U44(X1,X2,X3)
[743] U44(X1,mark(X2),X3) -> U44(X1,X2,X3)
[744] U44(X1,X2,mark(X3)) -> U44(X1,X2,X3)
[745] U44(active(X1),X2,X3) -> U44(X1,X2,X3)
[746] U44(X1,active(X2),X3) -> U44(X1,X2,X3)
[747] U44(X1,X2,active(X3)) -> U44(X1,X2,X3)
[748] U45(mark(X1),X2) -> U45(X1,X2)
[749] U45(X1,mark(X2)) -> U45(X1,X2)
[750] U45(active(X1),X2) -> U45(X1,X2)
[751] U45(X1,active(X2)) -> U45(X1,X2)
[752] U46(mark(X)) -> U46(X)
[753] U46(active(X)) -> U46(X)
[754] U51(mark(X1),X2,X3) -> U51(X1,X2,X3)
[755] U51(X1,mark(X2),X3) -> U51(X1,X2,X3)
[756] U51(X1,X2,mark(X3)) -> U51(X1,X2,X3)
[757] U51(active(X1),X2,X3) -> U51(X1,X2,X3)
[758] U51(X1,active(X2),X3) -> U51(X1,X2,X3)
[759] U51(X1,X2,active(X3)) -> U51(X1,X2,X3)
[760] U52(mark(X1),X2,X3) -> U52(X1,X2,X3)
[761] U52(X1,mark(X2),X3) -> U52(X1,X2,X3)
[762] U52(X1,X2,mark(X3)) -> U52(X1,X2,X3)
[763] U52(active(X1),X2,X3) -> U52(X1,X2,X3)
[764] U52(X1,active(X2),X3) -> U52(X1,X2,X3)
[765] U52(X1,X2,active(X3)) -> U52(X1,X2,X3)
[766] U53(mark(X1),X2,X3) -> U53(X1,X2,X3)
[767] U53(X1,mark(X2),X3) -> U53(X1,X2,X3)
[768] U53(X1,X2,mark(X3)) -> U53(X1,X2,X3)
[769] U53(active(X1),X2,X3) -> U53(X1,X2,X3)
[770] U53(X1,active(X2),X3) -> U53(X1,X2,X3)
[771] U53(X1,X2,active(X3)) -> U53(X1,X2,X3)
[772] U54(mark(X1),X2,X3) -> U54(X1,X2,X3)
[773] U54(X1,mark(X2),X3) -> U54(X1,X2,X3)
[774] U54(X1,X2,mark(X3)) -> U54(X1,X2,X3)
[775] U54(active(X1),X2,X3) -> U54(X1,X2,X3)
[776] U54(X1,active(X2),X3) -> U54(X1,X2,X3)
[777] U54(X1,X2,active(X3)) -> U54(X1,X2,X3)
[778] U55(mark(X1),X2) -> U55(X1,X2)
[779] U55(X1,mark(X2)) -> U55(X1,X2)
[780] U55(active(X1),X2) -> U55(X1,X2)
[781] U55(X1,active(X2)) -> U55(X1,X2)
[782] U56(mark(X)) -> U56(X)
[783] U56(active(X)) -> U56(X)
[784] U61(mark(X1),X2) -> U61(X1,X2)
[785] U61(X1,mark(X2)) -> U61(X1,X2)
[786] U61(active(X1),X2) -> U61(X1,X2)
[787] U61(X1,active(X2)) -> U61(X1,X2)
[788] U62(mark(X1),X2) -> U62(X1,X2)
[789] U62(X1,mark(X2)) -> U62(X1,X2)
[790] U62(active(X1),X2) -> U62(X1,X2)
[791] U62(X1,active(X2)) -> U62(X1,X2)
[792] isPLNatKind(mark(X)) -> isPLNatKind(X)
[793] isPLNatKind(active(X)) -> isPLNatKind(X)
[794] U63(mark(X)) -> U63(X)
[795] U63(active(X)) -> U63(X)
[796] isPLNat(mark(X)) -> isPLNat(X)
[797] isPLNat(active(X)) -> isPLNat(X)
[798] U71(mark(X1),X2) -> U71(X1,X2)
[799] U71(X1,mark(X2)) -> U71(X1,X2)
[800] U71(active(X1),X2) -> U71(X1,X2)
[801] U71(X1,active(X2)) -> U71(X1,X2)
[802] U72(mark(X1),X2) -> U72(X1,X2)
[803] U72(X1,mark(X2)) -> U72(X1,X2)
[804] U72(active(X1),X2) -> U72(X1,X2)
[805] U72(X1,active(X2)) -> U72(X1,X2)
[806] U73(mark(X)) -> U73(X)
[807] U73(active(X)) -> U73(X)
[808] U81(mark(X1),X2) -> U81(X1,X2)
[809] U81(X1,mark(X2)) -> U81(X1,X2)
[810] U81(active(X1),X2) -> U81(X1,X2)
[811] U81(X1,active(X2)) -> U81(X1,X2)
[812] U82(mark(X1),X2) -> U82(X1,X2)
[813] U82(X1,mark(X2)) -> U82(X1,X2)
[814] U82(active(X1),X2) -> U82(X1,X2)
[815] U82(X1,active(X2)) -> U82(X1,X2)
[816] U83(mark(X)) -> U83(X)
[817] U83(active(X)) -> U83(X)
[818] U91(mark(X1),X2) -> U91(X1,X2)
[819] U91(X1,mark(X2)) -> U91(X1,X2)
[820] U91(active(X1),X2) -> U91(X1,X2)
[821] U91(X1,active(X2)) -> U91(X1,X2)
[822] U92(mark(X1),X2) -> U92(X1,X2)
[823] U92(X1,mark(X2)) -> U92(X1,X2)
[824] U92(active(X1),X2) -> U92(X1,X2)
[825] U92(X1,active(X2)) -> U92(X1,X2)
[826] U93(mark(X)) -> U93(X)
[827] U93(active(X)) -> U93(X)
[828] tail(mark(X)) -> tail(X)
[829] tail(active(X)) -> tail(X)
[830] take(mark(X1),X2) -> take(X1,X2)
[831] take(X1,mark(X2)) -> take(X1,X2)
[832] take(active(X1),X2) -> take(X1,X2)
[833] take(X1,active(X2)) -> take(X1,X2)
[834] sel(mark(X1),X2) -> sel(X1,X2)
[835] sel(X1,mark(X2)) -> sel(X1,X2)
[836] sel(active(X1),X2) -> sel(X1,X2)
[837] sel(X1,active(X2)) -> sel(X1,X2)


Sub problem: 
guided: 

DP termination of:
<Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),V1,V2))>
<Marked_active(U101(tt,V1,V2)) , Marked_U102(isNaturalKind(V1),V1,V2)>
<Marked_active(U101(tt,V1,V2)) , Marked_isNaturalKind(V1)>
<Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),V1,V2))>
<Marked_active(U102(tt,V1,V2)) , Marked_U103(isLNatKind(V2),V1,V2)>
<Marked_active(U102(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),V1,V2))>
<Marked_active(U103(tt,V1,V2)) , Marked_U104(isLNatKind(V2),V1,V2)>
<Marked_active(U103(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
<Marked_active(U104(tt,V1,V2)) , Marked_U105(isNatural(V1),V2)>
<Marked_active(U104(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
<Marked_active(U105(tt,V2)) , Marked_U106(isLNat(V2))>
<Marked_active(U105(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U106(tt)) , Marked_mark(tt)>
<Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
<Marked_active(U11(tt,N,XS)) , Marked_U12(isNaturalKind(N),N,XS)>
<Marked_active(U11(tt,N,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
<Marked_active(U111(tt,V2)) , Marked_U112(isLNatKind(V2))>
<Marked_active(U111(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U112(tt)) , Marked_mark(tt)>
<Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
<Marked_active(U12(tt,N,XS)) , Marked_U13(isLNat(XS),N,XS)>
<Marked_active(U12(tt,N,XS)) , Marked_isLNat(XS)>
<Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
<Marked_active(U121(tt,V2)) , Marked_U122(isLNatKind(V2))>
<Marked_active(U121(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U122(tt)) , Marked_mark(tt)>
<Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
<Marked_active(U13(tt,N,XS)) , Marked_U14(isLNatKind(XS),N,XS)>
<Marked_active(U13(tt,N,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U131(tt)) , Marked_mark(tt)>
<Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
<Marked_active(U14(tt,N,XS)) , Marked_snd(splitAt(N,XS))>
<Marked_active(U14(tt,N,XS)) , Marked_splitAt(N,XS)>
<Marked_active(U141(tt)) , Marked_mark(tt)>
<Marked_active(U151(tt)) , Marked_mark(tt)>
<Marked_active(U161(tt)) , Marked_mark(tt)>
<Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
<Marked_active(U171(tt,V2)) , Marked_U172(isLNatKind(V2))>
<Marked_active(U171(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U172(tt)) , Marked_mark(tt)>
<Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
<Marked_active(U181(tt,V1)) , Marked_U182(isLNatKind(V1),V1)>
<Marked_active(U181(tt,V1)) , Marked_isLNatKind(V1)>
<Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
<Marked_active(U182(tt,V1)) , Marked_U183(isLNat(V1))>
<Marked_active(U182(tt,V1)) , Marked_isLNat(V1)>
<Marked_active(U183(tt)) , Marked_mark(tt)>
<Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
<Marked_active(U191(tt,V1)) , Marked_U192(isNaturalKind(V1),V1)>
<Marked_active(U191(tt,V1)) , Marked_isNaturalKind(V1)>
<Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
<Marked_active(U192(tt,V1)) , Marked_U193(isNatural(V1))>
<Marked_active(U192(tt,V1)) , Marked_isNatural(V1)>
<Marked_active(U193(tt)) , Marked_mark(tt)>
<Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),V1,V2))>
<Marked_active(U201(tt,V1,V2)) , Marked_U202(isNaturalKind(V1),V1,V2)>
<Marked_active(U201(tt,V1,V2)) , Marked_isNaturalKind(V1)>
<Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),V1,V2))>
<Marked_active(U202(tt,V1,V2)) , Marked_U203(isLNatKind(V2),V1,V2)>
<Marked_active(U202(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),V1,V2))>
<Marked_active(U203(tt,V1,V2)) , Marked_U204(isLNatKind(V2),V1,V2)>
<Marked_active(U203(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
<Marked_active(U204(tt,V1,V2)) , Marked_U205(isNatural(V1),V2)>
<Marked_active(U204(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
<Marked_active(U205(tt,V2)) , Marked_U206(isLNat(V2))>
<Marked_active(U205(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U206(tt)) , Marked_mark(tt)>
<Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
<Marked_active(U21(tt,X,Y)) , Marked_U22(isLNatKind(X),X,Y)>
<Marked_active(U21(tt,X,Y)) , Marked_isLNatKind(X)>
<Marked_active(U211(tt)) , Marked_mark(tt)>
<Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
<Marked_active(U22(tt,X,Y)) , Marked_U23(isLNat(Y),X,Y)>
<Marked_active(U22(tt,X,Y)) , Marked_isLNat(Y)>
<Marked_active(U221(tt)) , Marked_mark(tt)>
<Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
<Marked_active(U23(tt,X,Y)) , Marked_U24(isLNatKind(Y),X)>
<Marked_active(U23(tt,X,Y)) , Marked_isLNatKind(Y)>
<Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
<Marked_active(U231(tt,V2)) , Marked_U232(isLNatKind(V2))>
<Marked_active(U231(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U232(tt)) , Marked_mark(tt)>
<Marked_active(U24(tt,X)) , Marked_mark(X)>
<Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),V1,V2))>
<Marked_active(U241(tt,V1,V2)) , Marked_U242(isLNatKind(V1),V1,V2)>
<Marked_active(U241(tt,V1,V2)) , Marked_isLNatKind(V1)>
<Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),V1,V2))>
<Marked_active(U242(tt,V1,V2)) , Marked_U243(isLNatKind(V2),V1,V2)>
<Marked_active(U242(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),V1,V2))>
<Marked_active(U243(tt,V1,V2)) , Marked_U244(isLNatKind(V2),V1,V2)>
<Marked_active(U243(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
<Marked_active(U244(tt,V1,V2)) , Marked_U245(isLNat(V1),V2)>
<Marked_active(U244(tt,V1,V2)) , Marked_isLNat(V1)>
<Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
<Marked_active(U245(tt,V2)) , Marked_U246(isLNat(V2))>
<Marked_active(U245(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U246(tt)) , Marked_mark(tt)>
<Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),V1,V2))>
<Marked_active(U251(tt,V1,V2)) , Marked_U252(isNaturalKind(V1),V1,V2)>
<Marked_active(U251(tt,V1,V2)) , Marked_isNaturalKind(V1)>
<Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),V1,V2))>
<Marked_active(U252(tt,V1,V2)) , Marked_U253(isLNatKind(V2),V1,V2)>
<Marked_active(U252(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),V1,V2))>
<Marked_active(U253(tt,V1,V2)) , Marked_U254(isLNatKind(V2),V1,V2)>
<Marked_active(U253(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
<Marked_active(U254(tt,V1,V2)) , Marked_U255(isNatural(V1),V2)>
<Marked_active(U254(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
<Marked_active(U255(tt,V2)) , Marked_U256(isLNat(V2))>
<Marked_active(U255(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U256(tt)) , Marked_mark(tt)>
<Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
<Marked_active(U261(tt,V2)) , Marked_U262(isLNatKind(V2))>
<Marked_active(U261(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U262(tt)) , Marked_mark(tt)>
<Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
<Marked_active(U271(tt,V2)) , Marked_U272(isLNatKind(V2))>
<Marked_active(U271(tt,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U272(tt)) , Marked_mark(tt)>
<Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
<Marked_active(U281(tt,N)) , Marked_U282(isNaturalKind(N),N)>
<Marked_active(U281(tt,N)) , Marked_isNaturalKind(N)>
<Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
<Marked_active(U282(tt,N)) , Marked_cons(N,natsFrom(s(N)))>
<Marked_active(U282(tt,N)) , Marked_natsFrom(s(N))>
<Marked_active(U282(tt,N)) , Marked_s(N)>
<Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),N,XS))>
<Marked_active(U291(tt,N,XS)) , Marked_U292(isNaturalKind(N),N,XS)>
<Marked_active(U291(tt,N,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
<Marked_active(U292(tt,N,XS)) , Marked_U293(isLNat(XS),N,XS)>
<Marked_active(U292(tt,N,XS)) , Marked_isLNat(XS)>
<Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
<Marked_active(U293(tt,N,XS)) , Marked_U294(isLNatKind(XS),N,XS)>
<Marked_active(U293(tt,N,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
<Marked_active(U294(tt,N,XS)) , Marked_head(afterNth(N,XS))>
<Marked_active(U294(tt,N,XS)) , Marked_afterNth(N,XS)>
<Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
<Marked_active(U301(tt,X,Y)) , Marked_U302(isLNatKind(X),Y)>
<Marked_active(U301(tt,X,Y)) , Marked_isLNatKind(X)>
<Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
<Marked_active(U302(tt,Y)) , Marked_U303(isLNat(Y),Y)>
<Marked_active(U302(tt,Y)) , Marked_isLNat(Y)>
<Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
<Marked_active(U303(tt,Y)) , Marked_U304(isLNatKind(Y),Y)>
<Marked_active(U303(tt,Y)) , Marked_isLNatKind(Y)>
<Marked_active(U304(tt,Y)) , Marked_mark(Y)>
<Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
<Marked_active(U31(tt,N,XS)) , Marked_U32(isNaturalKind(N),N,XS)>
<Marked_active(U31(tt,N,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
<Marked_active(U311(tt,XS)) , Marked_U312(isLNatKind(XS),XS)>
<Marked_active(U311(tt,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
<Marked_active(U312(tt,XS)) , Marked_pair(nil,XS)>
<Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
<Marked_active(U32(tt,N,XS)) , Marked_U33(isLNat(XS),N,XS)>
<Marked_active(U32(tt,N,XS)) , Marked_isLNat(XS)>
<Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),N,X,XS))>
<Marked_active(U321(tt,N,X,XS)) , Marked_U322(isNaturalKind(N),N,X,XS)>
<Marked_active(U321(tt,N,X,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),N,X,XS))>
<Marked_active(U322(tt,N,X,XS)) , Marked_U323(isNatural(X),N,X,XS)>
<Marked_active(U322(tt,N,X,XS)) , Marked_isNatural(X)>
<Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),N,X,XS))>
<Marked_active(U323(tt,N,X,XS)) , Marked_U324(isNaturalKind(X),N,X,XS)>
<Marked_active(U323(tt,N,X,XS)) , Marked_isNaturalKind(X)>
<Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
<Marked_active(U324(tt,N,X,XS)) , Marked_U325(isLNat(XS),N,X,XS)>
<Marked_active(U324(tt,N,X,XS)) , Marked_isLNat(XS)>
<Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),N,X,XS))>
<Marked_active(U325(tt,N,X,XS)) , Marked_U326(isLNatKind(XS),N,X,XS)>
<Marked_active(U325(tt,N,X,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
<Marked_active(U326(tt,N,X,XS)) , Marked_U327(splitAt(N,XS),X)>
<Marked_active(U326(tt,N,X,XS)) , Marked_splitAt(N,XS)>
<Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
<Marked_active(U327(pair(YS,ZS),X)) , Marked_pair(cons(X,YS),ZS)>
<Marked_active(U327(pair(YS,ZS),X)) , Marked_cons(X,YS)>
<Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
<Marked_active(U33(tt,N,XS)) , Marked_U34(isLNatKind(XS),N)>
<Marked_active(U33(tt,N,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
<Marked_active(U331(tt,N,XS)) , Marked_U332(isNaturalKind(N),XS)>
<Marked_active(U331(tt,N,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
<Marked_active(U332(tt,XS)) , Marked_U333(isLNat(XS),XS)>
<Marked_active(U332(tt,XS)) , Marked_isLNat(XS)>
<Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
<Marked_active(U333(tt,XS)) , Marked_U334(isLNatKind(XS),XS)>
<Marked_active(U333(tt,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U334(tt,XS)) , Marked_mark(XS)>
<Marked_active(U34(tt,N)) , Marked_mark(N)>
<Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),N,XS))>
<Marked_active(U341(tt,N,XS)) , Marked_U342(isNaturalKind(N),N,XS)>
<Marked_active(U341(tt,N,XS)) , Marked_isNaturalKind(N)>
<Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
<Marked_active(U342(tt,N,XS)) , Marked_U343(isLNat(XS),N,XS)>
<Marked_active(U342(tt,N,XS)) , Marked_isLNat(XS)>
<Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
<Marked_active(U343(tt,N,XS)) , Marked_U344(isLNatKind(XS),N,XS)>
<Marked_active(U343(tt,N,XS)) , Marked_isLNatKind(XS)>
<Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
<Marked_active(U344(tt,N,XS)) , Marked_fst(splitAt(N,XS))>
<Marked_active(U344(tt,N,XS)) , Marked_splitAt(N,XS)>
<Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),V1,V2))>
<Marked_active(U41(tt,V1,V2)) , Marked_U42(isNaturalKind(V1),V1,V2)>
<Marked_active(U41(tt,V1,V2)) , Marked_isNaturalKind(V1)>
<Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
<Marked_active(U42(tt,V1,V2)) , Marked_U43(isLNatKind(V2),V1,V2)>
<Marked_active(U42(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
<Marked_active(U43(tt,V1,V2)) , Marked_U44(isLNatKind(V2),V1,V2)>
<Marked_active(U43(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
<Marked_active(U44(tt,V1,V2)) , Marked_U45(isNatural(V1),V2)>
<Marked_active(U44(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
<Marked_active(U45(tt,V2)) , Marked_U46(isLNat(V2))>
<Marked_active(U45(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U46(tt)) , Marked_mark(tt)>
<Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),V1,V2))>
<Marked_active(U51(tt,V1,V2)) , Marked_U52(isNaturalKind(V1),V1,V2)>
<Marked_active(U51(tt,V1,V2)) , Marked_isNaturalKind(V1)>
<Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
<Marked_active(U52(tt,V1,V2)) , Marked_U53(isLNatKind(V2),V1,V2)>
<Marked_active(U52(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
<Marked_active(U53(tt,V1,V2)) , Marked_U54(isLNatKind(V2),V1,V2)>
<Marked_active(U53(tt,V1,V2)) , Marked_isLNatKind(V2)>
<Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
<Marked_active(U54(tt,V1,V2)) , Marked_U55(isNatural(V1),V2)>
<Marked_active(U54(tt,V1,V2)) , Marked_isNatural(V1)>
<Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
<Marked_active(U55(tt,V2)) , Marked_U56(isLNat(V2))>
<Marked_active(U55(tt,V2)) , Marked_isLNat(V2)>
<Marked_active(U56(tt)) , Marked_mark(tt)>
<Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
<Marked_active(U61(tt,V1)) , Marked_U62(isPLNatKind(V1),V1)>
<Marked_active(U61(tt,V1)) , Marked_isPLNatKind(V1)>
<Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
<Marked_active(U62(tt,V1)) , Marked_U63(isPLNat(V1))>
<Marked_active(U62(tt,V1)) , Marked_isPLNat(V1)>
<Marked_active(U63(tt)) , Marked_mark(tt)>
<Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
<Marked_active(U71(tt,V1)) , Marked_U72(isNaturalKind(V1),V1)>
<Marked_active(U71(tt,V1)) , Marked_isNaturalKind(V1)>
<Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
<Marked_active(U72(tt,V1)) , Marked_U73(isNatural(V1))>
<Marked_active(U72(tt,V1)) , Marked_isNatural(V1)>
<Marked_active(U73(tt)) , Marked_mark(tt)>
<Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
<Marked_active(U81(tt,V1)) , Marked_U82(isPLNatKind(V1),V1)>
<Marked_active(U81(tt,V1)) , Marked_isPLNatKind(V1)>
<Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
<Marked_active(U82(tt,V1)) , Marked_U83(isPLNat(V1))>
<Marked_active(U82(tt,V1)) , Marked_isPLNat(V1)>
<Marked_active(U83(tt)) , Marked_mark(tt)>
<Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
<Marked_active(U91(tt,V1)) , Marked_U92(isLNatKind(V1),V1)>
<Marked_active(U91(tt,V1)) , Marked_isLNatKind(V1)>
<Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
<Marked_active(U92(tt,V1)) , Marked_U93(isLNat(V1))>
<Marked_active(U92(tt,V1)) , Marked_isLNat(V1)>
<Marked_active(U93(tt)) , Marked_mark(tt)>
<Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
<Marked_active(afterNth(N,XS)) , Marked_U11(isNatural(N),N,XS)>
<Marked_active(afterNth(N,XS)) , Marked_isNatural(N)>
<Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
<Marked_active(fst(pair(X,Y))) , Marked_U21(isLNat(X),X,Y)>
<Marked_active(fst(pair(X,Y))) , Marked_isLNat(X)>
<Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
<Marked_active(head(cons(N,XS))) , Marked_U31(isNatural(N),N,XS)>
<Marked_active(head(cons(N,XS))) , Marked_isNatural(N)>
<Marked_active(isLNat(nil)) , Marked_mark(tt)>
<Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(V1),
                                                       V1,V2))>
<Marked_active(isLNat(afterNth(V1,V2))) , Marked_U41(isNaturalKind(V1),V1,V2)>
<Marked_active(isLNat(afterNth(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(V1),V1,V2))>
<Marked_active(isLNat(cons(V1,V2))) , Marked_U51(isNaturalKind(V1),V1,V2)>
<Marked_active(isLNat(cons(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
<Marked_active(isLNat(fst(V1))) , Marked_U61(isPLNatKind(V1),V1)>
<Marked_active(isLNat(fst(V1))) , Marked_isPLNatKind(V1)>
<Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(V1),V1))>
<Marked_active(isLNat(natsFrom(V1))) , Marked_U71(isNaturalKind(V1),V1)>
<Marked_active(isLNat(natsFrom(V1))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
<Marked_active(isLNat(snd(V1))) , Marked_U81(isPLNatKind(V1),V1)>
<Marked_active(isLNat(snd(V1))) , Marked_isPLNatKind(V1)>
<Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
<Marked_active(isLNat(tail(V1))) , Marked_U91(isLNatKind(V1),V1)>
<Marked_active(isLNat(tail(V1))) , Marked_isLNatKind(V1)>
<Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(V1),V1,V2))>
<Marked_active(isLNat(take(V1,V2))) , Marked_U101(isNaturalKind(V1),V1,V2)>
<Marked_active(isLNat(take(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNatKind(nil)) , Marked_mark(tt)>
<Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(isNaturalKind(
                                                                V1),V2))>
<Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_U111(isNaturalKind(V1),V2)>
<Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(V1),
                                                       V2))>
<Marked_active(isLNatKind(cons(V1,V2))) , Marked_U121(isNaturalKind(V1),V2)>
<Marked_active(isLNatKind(cons(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))>
<Marked_active(isLNatKind(fst(V1))) , Marked_U131(isPLNatKind(V1))>
<Marked_active(isLNatKind(fst(V1))) , Marked_isPLNatKind(V1)>
<Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(isNaturalKind(V1)))>
<Marked_active(isLNatKind(natsFrom(V1))) , Marked_U141(isNaturalKind(V1))>
<Marked_active(isLNatKind(natsFrom(V1))) , Marked_isNaturalKind(V1)>
<Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))>
<Marked_active(isLNatKind(snd(V1))) , Marked_U151(isPLNatKind(V1))>
<Marked_active(isLNatKind(snd(V1))) , Marked_isPLNatKind(V1)>
<Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))>
<Marked_active(isLNatKind(tail(V1))) , Marked_U161(isLNatKind(V1))>
<Marked_active(isLNatKind(tail(V1))) , Marked_isLNatKind(V1)>
<Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(V1),
                                                       V2))>
<Marked_active(isLNatKind(take(V1,V2))) , Marked_U171(isNaturalKind(V1),V2)>
<Marked_active(isLNatKind(take(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isNatural(0)) , Marked_mark(tt)>
<Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),V1))>
<Marked_active(isNatural(head(V1))) , Marked_U181(isLNatKind(V1),V1)>
<Marked_active(isNatural(head(V1))) , Marked_isLNatKind(V1)>
<Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),V1))>
<Marked_active(isNatural(s(V1))) , Marked_U191(isNaturalKind(V1),V1)>
<Marked_active(isNatural(s(V1))) , Marked_isNaturalKind(V1)>
<Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(V1),
                                                     V1,V2))>
<Marked_active(isNatural(sel(V1,V2))) , Marked_U201(isNaturalKind(V1),V1,V2)>
<Marked_active(isNatural(sel(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isNaturalKind(0)) , Marked_mark(tt)>
<Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(V1)))>
<Marked_active(isNaturalKind(head(V1))) , Marked_U211(isLNatKind(V1))>
<Marked_active(isNaturalKind(head(V1))) , Marked_isLNatKind(V1)>
<Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(V1)))>
<Marked_active(isNaturalKind(s(V1))) , Marked_U221(isNaturalKind(V1))>
<Marked_active(isNaturalKind(s(V1))) , Marked_isNaturalKind(V1)>
<Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(isNaturalKind(V1),
                                                         V2))>
<Marked_active(isNaturalKind(sel(V1,V2))) , Marked_U231(isNaturalKind(V1),V2)>
<Marked_active(isNaturalKind(sel(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),V1,V2))>
<Marked_active(isPLNat(pair(V1,V2))) , Marked_U241(isLNatKind(V1),V1,V2)>
<Marked_active(isPLNat(pair(V1,V2))) , Marked_isLNatKind(V1)>
<Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(V1),
                                                       V1,V2))>
<Marked_active(isPLNat(splitAt(V1,V2))) , Marked_U251(isNaturalKind(V1),V1,V2)>
<Marked_active(isPLNat(splitAt(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(isLNatKind(V1),V2))>
<Marked_active(isPLNatKind(pair(V1,V2))) , Marked_U261(isLNatKind(V1),V2)>
<Marked_active(isPLNatKind(pair(V1,V2))) , Marked_isLNatKind(V1)>
<Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(isNaturalKind(
                                                                V1),V2))>
<Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_U271(isNaturalKind(V1),V2)>
<Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_isNaturalKind(V1)>
<Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
<Marked_active(natsFrom(N)) , Marked_U281(isNatural(N),N)>
<Marked_active(natsFrom(N)) , Marked_isNatural(N)>
<Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
<Marked_active(sel(N,XS)) , Marked_U291(isNatural(N),N,XS)>
<Marked_active(sel(N,XS)) , Marked_isNatural(N)>
<Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
<Marked_active(snd(pair(X,Y))) , Marked_U301(isLNat(X),X,Y)>
<Marked_active(snd(pair(X,Y))) , Marked_isLNat(X)>
<Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
<Marked_active(splitAt(0,XS)) , Marked_U311(isLNat(XS),XS)>
<Marked_active(splitAt(0,XS)) , Marked_isLNat(XS)>
<Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(isNatural(N),
                                                        N,X,XS))>
<Marked_active(splitAt(s(N),cons(X,XS))) , Marked_U321(isNatural(N),N,X,XS)>
<Marked_active(splitAt(s(N),cons(X,XS))) , Marked_isNatural(N)>
<Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
<Marked_active(tail(cons(N,XS))) , Marked_U331(isNatural(N),N,XS)>
<Marked_active(tail(cons(N,XS))) , Marked_isNatural(N)>
<Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
<Marked_active(take(N,XS)) , Marked_U341(isNatural(N),N,XS)>
<Marked_active(take(N,XS)) , Marked_isNatural(N)>
<Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
<Marked_mark(U101(X1,X2,X3)) , Marked_U101(mark(X1),X2,X3)>
<Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(tt) , Marked_active(tt)>
<Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
<Marked_mark(U102(X1,X2,X3)) , Marked_U102(mark(X1),X2,X3)>
<Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
<Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
<Marked_mark(U103(X1,X2,X3)) , Marked_U103(mark(X1),X2,X3)>
<Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
<Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
<Marked_mark(U104(X1,X2,X3)) , Marked_U104(mark(X1),X2,X3)>
<Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
<Marked_mark(U105(X1,X2)) , Marked_U105(mark(X1),X2)>
<Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
<Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
<Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
<Marked_mark(U106(X)) , Marked_U106(mark(X))>
<Marked_mark(U106(X)) , Marked_mark(X)>
<Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
<Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
<Marked_mark(U11(X1,X2,X3)) , Marked_U11(mark(X1),X2,X3)>
<Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
<Marked_mark(U12(X1,X2,X3)) , Marked_U12(mark(X1),X2,X3)>
<Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
<Marked_mark(U111(X1,X2)) , Marked_U111(mark(X1),X2)>
<Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
<Marked_mark(U112(X)) , Marked_U112(mark(X))>
<Marked_mark(U112(X)) , Marked_mark(X)>
<Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
<Marked_mark(U13(X1,X2,X3)) , Marked_U13(mark(X1),X2,X3)>
<Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
<Marked_mark(U121(X1,X2)) , Marked_U121(mark(X1),X2)>
<Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
<Marked_mark(U122(X)) , Marked_U122(mark(X))>
<Marked_mark(U122(X)) , Marked_mark(X)>
<Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
<Marked_mark(U14(X1,X2,X3)) , Marked_U14(mark(X1),X2,X3)>
<Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
<Marked_mark(U131(X)) , Marked_U131(mark(X))>
<Marked_mark(U131(X)) , Marked_mark(X)>
<Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
<Marked_mark(snd(X)) , Marked_snd(mark(X))>
<Marked_mark(snd(X)) , Marked_mark(X)>
<Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))>
<Marked_mark(splitAt(X1,X2)) , Marked_splitAt(mark(X1),mark(X2))>
<Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
<Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
<Marked_mark(U141(X)) , Marked_U141(mark(X))>
<Marked_mark(U141(X)) , Marked_mark(X)>
<Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
<Marked_mark(U151(X)) , Marked_U151(mark(X))>
<Marked_mark(U151(X)) , Marked_mark(X)>
<Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
<Marked_mark(U161(X)) , Marked_U161(mark(X))>
<Marked_mark(U161(X)) , Marked_mark(X)>
<Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
<Marked_mark(U171(X1,X2)) , Marked_U171(mark(X1),X2)>
<Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
<Marked_mark(U172(X)) , Marked_U172(mark(X))>
<Marked_mark(U172(X)) , Marked_mark(X)>
<Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
<Marked_mark(U181(X1,X2)) , Marked_U181(mark(X1),X2)>
<Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
<Marked_mark(U182(X1,X2)) , Marked_U182(mark(X1),X2)>
<Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
<Marked_mark(U183(X)) , Marked_U183(mark(X))>
<Marked_mark(U183(X)) , Marked_mark(X)>
<Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
<Marked_mark(U191(X1,X2)) , Marked_U191(mark(X1),X2)>
<Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
<Marked_mark(U192(X1,X2)) , Marked_U192(mark(X1),X2)>
<Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
<Marked_mark(U193(X)) , Marked_U193(mark(X))>
<Marked_mark(U193(X)) , Marked_mark(X)>
<Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
<Marked_mark(U201(X1,X2,X3)) , Marked_U201(mark(X1),X2,X3)>
<Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
<Marked_mark(U202(X1,X2,X3)) , Marked_U202(mark(X1),X2,X3)>
<Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
<Marked_mark(U203(X1,X2,X3)) , Marked_U203(mark(X1),X2,X3)>
<Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
<Marked_mark(U204(X1,X2,X3)) , Marked_U204(mark(X1),X2,X3)>
<Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
<Marked_mark(U205(X1,X2)) , Marked_U205(mark(X1),X2)>
<Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
<Marked_mark(U206(X)) , Marked_U206(mark(X))>
<Marked_mark(U206(X)) , Marked_mark(X)>
<Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
<Marked_mark(U21(X1,X2,X3)) , Marked_U21(mark(X1),X2,X3)>
<Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
<Marked_mark(U22(X1,X2,X3)) , Marked_U22(mark(X1),X2,X3)>
<Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
<Marked_mark(U211(X)) , Marked_U211(mark(X))>
<Marked_mark(U211(X)) , Marked_mark(X)>
<Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
<Marked_mark(U23(X1,X2,X3)) , Marked_U23(mark(X1),X2,X3)>
<Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
<Marked_mark(U221(X)) , Marked_U221(mark(X))>
<Marked_mark(U221(X)) , Marked_mark(X)>
<Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
<Marked_mark(U24(X1,X2)) , Marked_U24(mark(X1),X2)>
<Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
<Marked_mark(U231(X1,X2)) , Marked_U231(mark(X1),X2)>
<Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
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<Marked_mark(U232(X)) , Marked_U232(mark(X))>
<Marked_mark(U232(X)) , Marked_mark(X)>
<Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
<Marked_mark(U241(X1,X2,X3)) , Marked_U241(mark(X1),X2,X3)>
<Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
<Marked_mark(U242(X1,X2,X3)) , Marked_U242(mark(X1),X2,X3)>
<Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
<Marked_mark(U243(X1,X2,X3)) , Marked_U243(mark(X1),X2,X3)>
<Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
<Marked_mark(U244(X1,X2,X3)) , Marked_U244(mark(X1),X2,X3)>
<Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
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<Marked_mark(U245(X1,X2)) , Marked_U245(mark(X1),X2)>
<Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
<Marked_mark(U246(X)) , Marked_U246(mark(X))>
<Marked_mark(U246(X)) , Marked_mark(X)>
<Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
<Marked_mark(U251(X1,X2,X3)) , Marked_U251(mark(X1),X2,X3)>
<Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
<Marked_mark(U252(X1,X2,X3)) , Marked_U252(mark(X1),X2,X3)>
<Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
<Marked_mark(U253(X1,X2,X3)) , Marked_U253(mark(X1),X2,X3)>
<Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
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<Marked_mark(U254(X1,X2,X3)) , Marked_U254(mark(X1),X2,X3)>
<Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
<Marked_mark(U255(X1,X2)) , Marked_U255(mark(X1),X2)>
<Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
<Marked_mark(U256(X)) , Marked_U256(mark(X))>
<Marked_mark(U256(X)) , Marked_mark(X)>
<Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
<Marked_mark(U261(X1,X2)) , Marked_U261(mark(X1),X2)>
<Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
<Marked_mark(U262(X)) , Marked_U262(mark(X))>
<Marked_mark(U262(X)) , Marked_mark(X)>
<Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
<Marked_mark(U271(X1,X2)) , Marked_U271(mark(X1),X2)>
<Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
<Marked_mark(U272(X)) , Marked_U272(mark(X))>
<Marked_mark(U272(X)) , Marked_mark(X)>
<Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
<Marked_mark(U281(X1,X2)) , Marked_U281(mark(X1),X2)>
<Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
<Marked_mark(U282(X1,X2)) , Marked_U282(mark(X1),X2)>
<Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
<Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
<Marked_mark(cons(X1,X2)) , Marked_cons(mark(X1),X2)>
<Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
<Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
<Marked_mark(natsFrom(X)) , Marked_natsFrom(mark(X))>
<Marked_mark(natsFrom(X)) , Marked_mark(X)>
<Marked_mark(s(X)) , Marked_active(s(mark(X)))>
<Marked_mark(s(X)) , Marked_s(mark(X))>
<Marked_mark(s(X)) , Marked_mark(X)>
<Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
<Marked_mark(U291(X1,X2,X3)) , Marked_U291(mark(X1),X2,X3)>
<Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
<Marked_mark(U292(X1,X2,X3)) , Marked_U292(mark(X1),X2,X3)>
<Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
<Marked_mark(U293(X1,X2,X3)) , Marked_U293(mark(X1),X2,X3)>
<Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
<Marked_mark(U294(X1,X2,X3)) , Marked_U294(mark(X1),X2,X3)>
<Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(head(X)) , Marked_active(head(mark(X)))>
<Marked_mark(head(X)) , Marked_head(mark(X))>
<Marked_mark(head(X)) , Marked_mark(X)>
<Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))>
<Marked_mark(afterNth(X1,X2)) , Marked_afterNth(mark(X1),mark(X2))>
<Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
<Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
<Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
<Marked_mark(U301(X1,X2,X3)) , Marked_U301(mark(X1),X2,X3)>
<Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
<Marked_mark(U302(X1,X2)) , Marked_U302(mark(X1),X2)>
<Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
<Marked_mark(U303(X1,X2)) , Marked_U303(mark(X1),X2)>
<Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
<Marked_mark(U304(X1,X2)) , Marked_U304(mark(X1),X2)>
<Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
<Marked_mark(U31(X1,X2,X3)) , Marked_U31(mark(X1),X2,X3)>
<Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
<Marked_mark(U32(X1,X2,X3)) , Marked_U32(mark(X1),X2,X3)>
<Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
<Marked_mark(U311(X1,X2)) , Marked_U311(mark(X1),X2)>
<Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
<Marked_mark(U312(X1,X2)) , Marked_U312(mark(X1),X2)>
<Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
<Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
<Marked_mark(pair(X1,X2)) , Marked_pair(mark(X1),mark(X2))>
<Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
<Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
<Marked_mark(nil) , Marked_active(nil)>
<Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
<Marked_mark(U33(X1,X2,X3)) , Marked_U33(mark(X1),X2,X3)>
<Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))>
<Marked_mark(U321(X1,X2,X3,X4)) , Marked_U321(mark(X1),X2,X3,X4)>
<Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))>
<Marked_mark(U322(X1,X2,X3,X4)) , Marked_U322(mark(X1),X2,X3,X4)>
<Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))>
<Marked_mark(U323(X1,X2,X3,X4)) , Marked_U323(mark(X1),X2,X3,X4)>
<Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))>
<Marked_mark(U324(X1,X2,X3,X4)) , Marked_U324(mark(X1),X2,X3,X4)>
<Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))>
<Marked_mark(U325(X1,X2,X3,X4)) , Marked_U325(mark(X1),X2,X3,X4)>
<Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))>
<Marked_mark(U326(X1,X2,X3,X4)) , Marked_U326(mark(X1),X2,X3,X4)>
<Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
<Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
<Marked_mark(U327(X1,X2)) , Marked_U327(mark(X1),X2)>
<Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
<Marked_mark(U34(X1,X2)) , Marked_U34(mark(X1),X2)>
<Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
<Marked_mark(U331(X1,X2,X3)) , Marked_U331(mark(X1),X2,X3)>
<Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
<Marked_mark(U332(X1,X2)) , Marked_U332(mark(X1),X2)>
<Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
<Marked_mark(U333(X1,X2)) , Marked_U333(mark(X1),X2)>
<Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
<Marked_mark(U334(X1,X2)) , Marked_U334(mark(X1),X2)>
<Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
<Marked_mark(U341(X1,X2,X3)) , Marked_U341(mark(X1),X2,X3)>
<Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
<Marked_mark(U342(X1,X2,X3)) , Marked_U342(mark(X1),X2,X3)>
<Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
<Marked_mark(U343(X1,X2,X3)) , Marked_U343(mark(X1),X2,X3)>
<Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
<Marked_mark(U344(X1,X2,X3)) , Marked_U344(mark(X1),X2,X3)>
<Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
<Marked_mark(fst(X)) , Marked_fst(mark(X))>
<Marked_mark(fst(X)) , Marked_mark(X)>
<Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
<Marked_mark(U41(X1,X2,X3)) , Marked_U41(mark(X1),X2,X3)>
<Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
<Marked_mark(U42(X1,X2,X3)) , Marked_U42(mark(X1),X2,X3)>
<Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
<Marked_mark(U43(X1,X2,X3)) , Marked_U43(mark(X1),X2,X3)>
<Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
<Marked_mark(U44(X1,X2,X3)) , Marked_U44(mark(X1),X2,X3)>
<Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
<Marked_mark(U45(X1,X2)) , Marked_U45(mark(X1),X2)>
<Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
<Marked_mark(U46(X)) , Marked_U46(mark(X))>
<Marked_mark(U46(X)) , Marked_mark(X)>
<Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
<Marked_mark(U51(X1,X2,X3)) , Marked_U51(mark(X1),X2,X3)>
<Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
<Marked_mark(U52(X1,X2,X3)) , Marked_U52(mark(X1),X2,X3)>
<Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
<Marked_mark(U53(X1,X2,X3)) , Marked_U53(mark(X1),X2,X3)>
<Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
<Marked_mark(U54(X1,X2,X3)) , Marked_U54(mark(X1),X2,X3)>
<Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
<Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
<Marked_mark(U55(X1,X2)) , Marked_U55(mark(X1),X2)>
<Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
<Marked_mark(U56(X)) , Marked_U56(mark(X))>
<Marked_mark(U56(X)) , Marked_mark(X)>
<Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
<Marked_mark(U61(X1,X2)) , Marked_U61(mark(X1),X2)>
<Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
<Marked_mark(U62(X1,X2)) , Marked_U62(mark(X1),X2)>
<Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
<Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
<Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
<Marked_mark(U63(X)) , Marked_U63(mark(X))>
<Marked_mark(U63(X)) , Marked_mark(X)>
<Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
<Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
<Marked_mark(U71(X1,X2)) , Marked_U71(mark(X1),X2)>
<Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
<Marked_mark(U72(X1,X2)) , Marked_U72(mark(X1),X2)>
<Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
<Marked_mark(U73(X)) , Marked_U73(mark(X))>
<Marked_mark(U73(X)) , Marked_mark(X)>
<Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
<Marked_mark(U81(X1,X2)) , Marked_U81(mark(X1),X2)>
<Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
<Marked_mark(U82(X1,X2)) , Marked_U82(mark(X1),X2)>
<Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
<Marked_mark(U83(X)) , Marked_U83(mark(X))>
<Marked_mark(U83(X)) , Marked_mark(X)>
<Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
<Marked_mark(U91(X1,X2)) , Marked_U91(mark(X1),X2)>
<Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
<Marked_mark(U92(X1,X2)) , Marked_U92(mark(X1),X2)>
<Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
<Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
<Marked_mark(U93(X)) , Marked_U93(mark(X))>
<Marked_mark(U93(X)) , Marked_mark(X)>
<Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
<Marked_mark(tail(X)) , Marked_tail(mark(X))>
<Marked_mark(tail(X)) , Marked_mark(X)>
<Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
<Marked_mark(take(X1,X2)) , Marked_take(mark(X1),mark(X2))>
<Marked_mark(take(X1,X2)) , Marked_mark(X1)>
<Marked_mark(take(X1,X2)) , Marked_mark(X2)>
<Marked_mark(0) , Marked_active(0)>
<Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
<Marked_mark(sel(X1,X2)) , Marked_sel(mark(X1),mark(X2))>
<Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
<Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
<Marked_U101(mark(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,mark(X2),X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,X2,mark(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U101(active(X1),X2,X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,active(X2),X3) , Marked_U101(X1,X2,X3)>
<Marked_U101(X1,X2,active(X3)) , Marked_U101(X1,X2,X3)>
<Marked_U102(mark(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,mark(X2),X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,X2,mark(X3)) , Marked_U102(X1,X2,X3)>
<Marked_U102(active(X1),X2,X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,active(X2),X3) , Marked_U102(X1,X2,X3)>
<Marked_U102(X1,X2,active(X3)) , Marked_U102(X1,X2,X3)>
<Marked_isNaturalKind(mark(X)) , Marked_isNaturalKind(X)>
<Marked_isNaturalKind(active(X)) , Marked_isNaturalKind(X)>
<Marked_U103(mark(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,mark(X2),X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,X2,mark(X3)) , Marked_U103(X1,X2,X3)>
<Marked_U103(active(X1),X2,X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,active(X2),X3) , Marked_U103(X1,X2,X3)>
<Marked_U103(X1,X2,active(X3)) , Marked_U103(X1,X2,X3)>
<Marked_isLNatKind(mark(X)) , Marked_isLNatKind(X)>
<Marked_isLNatKind(active(X)) , Marked_isLNatKind(X)>
<Marked_U104(mark(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,mark(X2),X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,X2,mark(X3)) , Marked_U104(X1,X2,X3)>
<Marked_U104(active(X1),X2,X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,active(X2),X3) , Marked_U104(X1,X2,X3)>
<Marked_U104(X1,X2,active(X3)) , Marked_U104(X1,X2,X3)>
<Marked_U105(mark(X1),X2) , Marked_U105(X1,X2)>
<Marked_U105(X1,mark(X2)) , Marked_U105(X1,X2)>
<Marked_U105(active(X1),X2) , Marked_U105(X1,X2)>
<Marked_U105(X1,active(X2)) , Marked_U105(X1,X2)>
<Marked_isNatural(mark(X)) , Marked_isNatural(X)>
<Marked_isNatural(active(X)) , Marked_isNatural(X)>
<Marked_U106(mark(X)) , Marked_U106(X)>
<Marked_U106(active(X)) , Marked_U106(X)>
<Marked_isLNat(mark(X)) , Marked_isLNat(X)>
<Marked_isLNat(active(X)) , Marked_isLNat(X)>
<Marked_U11(mark(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,mark(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,mark(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U11(active(X1),X2,X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,active(X2),X3) , Marked_U11(X1,X2,X3)>
<Marked_U11(X1,X2,active(X3)) , Marked_U11(X1,X2,X3)>
<Marked_U12(mark(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,mark(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,mark(X3)) , Marked_U12(X1,X2,X3)>
<Marked_U12(active(X1),X2,X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,active(X2),X3) , Marked_U12(X1,X2,X3)>
<Marked_U12(X1,X2,active(X3)) , Marked_U12(X1,X2,X3)>
<Marked_U111(mark(X1),X2) , Marked_U111(X1,X2)>
<Marked_U111(X1,mark(X2)) , Marked_U111(X1,X2)>
<Marked_U111(active(X1),X2) , Marked_U111(X1,X2)>
<Marked_U111(X1,active(X2)) , Marked_U111(X1,X2)>
<Marked_U112(mark(X)) , Marked_U112(X)>
<Marked_U112(active(X)) , Marked_U112(X)>
<Marked_U13(mark(X1),X2,X3) , Marked_U13(X1,X2,X3)>
<Marked_U13(X1,mark(X2),X3) , Marked_U13(X1,X2,X3)>
<Marked_U13(X1,X2,mark(X3)) , Marked_U13(X1,X2,X3)>
<Marked_U13(active(X1),X2,X3) , Marked_U13(X1,X2,X3)>
<Marked_U13(X1,active(X2),X3) , Marked_U13(X1,X2,X3)>
<Marked_U13(X1,X2,active(X3)) , Marked_U13(X1,X2,X3)>
<Marked_U121(mark(X1),X2) , Marked_U121(X1,X2)>
<Marked_U121(X1,mark(X2)) , Marked_U121(X1,X2)>
<Marked_U121(active(X1),X2) , Marked_U121(X1,X2)>
<Marked_U121(X1,active(X2)) , Marked_U121(X1,X2)>
<Marked_U122(mark(X)) , Marked_U122(X)>
<Marked_U122(active(X)) , Marked_U122(X)>
<Marked_U14(mark(X1),X2,X3) , Marked_U14(X1,X2,X3)>
<Marked_U14(X1,mark(X2),X3) , Marked_U14(X1,X2,X3)>
<Marked_U14(X1,X2,mark(X3)) , Marked_U14(X1,X2,X3)>
<Marked_U14(active(X1),X2,X3) , Marked_U14(X1,X2,X3)>
<Marked_U14(X1,active(X2),X3) , Marked_U14(X1,X2,X3)>
<Marked_U14(X1,X2,active(X3)) , Marked_U14(X1,X2,X3)>
<Marked_U131(mark(X)) , Marked_U131(X)>
<Marked_U131(active(X)) , Marked_U131(X)>
<Marked_snd(mark(X)) , Marked_snd(X)>
<Marked_snd(active(X)) , Marked_snd(X)>
<Marked_splitAt(mark(X1),X2) , Marked_splitAt(X1,X2)>
<Marked_splitAt(X1,mark(X2)) , Marked_splitAt(X1,X2)>
<Marked_splitAt(active(X1),X2) , Marked_splitAt(X1,X2)>
<Marked_splitAt(X1,active(X2)) , Marked_splitAt(X1,X2)>
<Marked_U141(mark(X)) , Marked_U141(X)>
<Marked_U141(active(X)) , Marked_U141(X)>
<Marked_U151(mark(X)) , Marked_U151(X)>
<Marked_U151(active(X)) , Marked_U151(X)>
<Marked_U161(mark(X)) , Marked_U161(X)>
<Marked_U161(active(X)) , Marked_U161(X)>
<Marked_U171(mark(X1),X2) , Marked_U171(X1,X2)>
<Marked_U171(X1,mark(X2)) , Marked_U171(X1,X2)>
<Marked_U171(active(X1),X2) , Marked_U171(X1,X2)>
<Marked_U171(X1,active(X2)) , Marked_U171(X1,X2)>
<Marked_U172(mark(X)) , Marked_U172(X)>
<Marked_U172(active(X)) , Marked_U172(X)>
<Marked_U181(mark(X1),X2) , Marked_U181(X1,X2)>
<Marked_U181(X1,mark(X2)) , Marked_U181(X1,X2)>
<Marked_U181(active(X1),X2) , Marked_U181(X1,X2)>
<Marked_U181(X1,active(X2)) , Marked_U181(X1,X2)>
<Marked_U182(mark(X1),X2) , Marked_U182(X1,X2)>
<Marked_U182(X1,mark(X2)) , Marked_U182(X1,X2)>
<Marked_U182(active(X1),X2) , Marked_U182(X1,X2)>
<Marked_U182(X1,active(X2)) , Marked_U182(X1,X2)>
<Marked_U183(mark(X)) , Marked_U183(X)>
<Marked_U183(active(X)) , Marked_U183(X)>
<Marked_U191(mark(X1),X2) , Marked_U191(X1,X2)>
<Marked_U191(X1,mark(X2)) , Marked_U191(X1,X2)>
<Marked_U191(active(X1),X2) , Marked_U191(X1,X2)>
<Marked_U191(X1,active(X2)) , Marked_U191(X1,X2)>
<Marked_U192(mark(X1),X2) , Marked_U192(X1,X2)>
<Marked_U192(X1,mark(X2)) , Marked_U192(X1,X2)>
<Marked_U192(active(X1),X2) , Marked_U192(X1,X2)>
<Marked_U192(X1,active(X2)) , Marked_U192(X1,X2)>
<Marked_U193(mark(X)) , Marked_U193(X)>
<Marked_U193(active(X)) , Marked_U193(X)>
<Marked_U201(mark(X1),X2,X3) , Marked_U201(X1,X2,X3)>
<Marked_U201(X1,mark(X2),X3) , Marked_U201(X1,X2,X3)>
<Marked_U201(X1,X2,mark(X3)) , Marked_U201(X1,X2,X3)>
<Marked_U201(active(X1),X2,X3) , Marked_U201(X1,X2,X3)>
<Marked_U201(X1,active(X2),X3) , Marked_U201(X1,X2,X3)>
<Marked_U201(X1,X2,active(X3)) , Marked_U201(X1,X2,X3)>
<Marked_U202(mark(X1),X2,X3) , Marked_U202(X1,X2,X3)>
<Marked_U202(X1,mark(X2),X3) , Marked_U202(X1,X2,X3)>
<Marked_U202(X1,X2,mark(X3)) , Marked_U202(X1,X2,X3)>
<Marked_U202(active(X1),X2,X3) , Marked_U202(X1,X2,X3)>
<Marked_U202(X1,active(X2),X3) , Marked_U202(X1,X2,X3)>
<Marked_U202(X1,X2,active(X3)) , Marked_U202(X1,X2,X3)>
<Marked_U203(mark(X1),X2,X3) , Marked_U203(X1,X2,X3)>
<Marked_U203(X1,mark(X2),X3) , Marked_U203(X1,X2,X3)>
<Marked_U203(X1,X2,mark(X3)) , Marked_U203(X1,X2,X3)>
<Marked_U203(active(X1),X2,X3) , Marked_U203(X1,X2,X3)>
<Marked_U203(X1,active(X2),X3) , Marked_U203(X1,X2,X3)>
<Marked_U203(X1,X2,active(X3)) , Marked_U203(X1,X2,X3)>
<Marked_U204(mark(X1),X2,X3) , Marked_U204(X1,X2,X3)>
<Marked_U204(X1,mark(X2),X3) , Marked_U204(X1,X2,X3)>
<Marked_U204(X1,X2,mark(X3)) , Marked_U204(X1,X2,X3)>
<Marked_U204(active(X1),X2,X3) , Marked_U204(X1,X2,X3)>
<Marked_U204(X1,active(X2),X3) , Marked_U204(X1,X2,X3)>
<Marked_U204(X1,X2,active(X3)) , Marked_U204(X1,X2,X3)>
<Marked_U205(mark(X1),X2) , Marked_U205(X1,X2)>
<Marked_U205(X1,mark(X2)) , Marked_U205(X1,X2)>
<Marked_U205(active(X1),X2) , Marked_U205(X1,X2)>
<Marked_U205(X1,active(X2)) , Marked_U205(X1,X2)>
<Marked_U206(mark(X)) , Marked_U206(X)>
<Marked_U206(active(X)) , Marked_U206(X)>
<Marked_U21(mark(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,mark(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,mark(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U21(active(X1),X2,X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,active(X2),X3) , Marked_U21(X1,X2,X3)>
<Marked_U21(X1,X2,active(X3)) , Marked_U21(X1,X2,X3)>
<Marked_U22(mark(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,mark(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,mark(X3)) , Marked_U22(X1,X2,X3)>
<Marked_U22(active(X1),X2,X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,active(X2),X3) , Marked_U22(X1,X2,X3)>
<Marked_U22(X1,X2,active(X3)) , Marked_U22(X1,X2,X3)>
<Marked_U211(mark(X)) , Marked_U211(X)>
<Marked_U211(active(X)) , Marked_U211(X)>
<Marked_U23(mark(X1),X2,X3) , Marked_U23(X1,X2,X3)>
<Marked_U23(X1,mark(X2),X3) , Marked_U23(X1,X2,X3)>
<Marked_U23(X1,X2,mark(X3)) , Marked_U23(X1,X2,X3)>
<Marked_U23(active(X1),X2,X3) , Marked_U23(X1,X2,X3)>
<Marked_U23(X1,active(X2),X3) , Marked_U23(X1,X2,X3)>
<Marked_U23(X1,X2,active(X3)) , Marked_U23(X1,X2,X3)>
<Marked_U221(mark(X)) , Marked_U221(X)>
<Marked_U221(active(X)) , Marked_U221(X)>
<Marked_U24(mark(X1),X2) , Marked_U24(X1,X2)>
<Marked_U24(X1,mark(X2)) , Marked_U24(X1,X2)>
<Marked_U24(active(X1),X2) , Marked_U24(X1,X2)>
<Marked_U24(X1,active(X2)) , Marked_U24(X1,X2)>
<Marked_U231(mark(X1),X2) , Marked_U231(X1,X2)>
<Marked_U231(X1,mark(X2)) , Marked_U231(X1,X2)>
<Marked_U231(active(X1),X2) , Marked_U231(X1,X2)>
<Marked_U231(X1,active(X2)) , Marked_U231(X1,X2)>
<Marked_U232(mark(X)) , Marked_U232(X)>
<Marked_U232(active(X)) , Marked_U232(X)>
<Marked_U241(mark(X1),X2,X3) , Marked_U241(X1,X2,X3)>
<Marked_U241(X1,mark(X2),X3) , Marked_U241(X1,X2,X3)>
<Marked_U241(X1,X2,mark(X3)) , Marked_U241(X1,X2,X3)>
<Marked_U241(active(X1),X2,X3) , Marked_U241(X1,X2,X3)>
<Marked_U241(X1,active(X2),X3) , Marked_U241(X1,X2,X3)>
<Marked_U241(X1,X2,active(X3)) , Marked_U241(X1,X2,X3)>
<Marked_U242(mark(X1),X2,X3) , Marked_U242(X1,X2,X3)>
<Marked_U242(X1,mark(X2),X3) , Marked_U242(X1,X2,X3)>
<Marked_U242(X1,X2,mark(X3)) , Marked_U242(X1,X2,X3)>
<Marked_U242(active(X1),X2,X3) , Marked_U242(X1,X2,X3)>
<Marked_U242(X1,active(X2),X3) , Marked_U242(X1,X2,X3)>
<Marked_U242(X1,X2,active(X3)) , Marked_U242(X1,X2,X3)>
<Marked_U243(mark(X1),X2,X3) , Marked_U243(X1,X2,X3)>
<Marked_U243(X1,mark(X2),X3) , Marked_U243(X1,X2,X3)>
<Marked_U243(X1,X2,mark(X3)) , Marked_U243(X1,X2,X3)>
<Marked_U243(active(X1),X2,X3) , Marked_U243(X1,X2,X3)>
<Marked_U243(X1,active(X2),X3) , Marked_U243(X1,X2,X3)>
<Marked_U243(X1,X2,active(X3)) , Marked_U243(X1,X2,X3)>
<Marked_U244(mark(X1),X2,X3) , Marked_U244(X1,X2,X3)>
<Marked_U244(X1,mark(X2),X3) , Marked_U244(X1,X2,X3)>
<Marked_U244(X1,X2,mark(X3)) , Marked_U244(X1,X2,X3)>
<Marked_U244(active(X1),X2,X3) , Marked_U244(X1,X2,X3)>
<Marked_U244(X1,active(X2),X3) , Marked_U244(X1,X2,X3)>
<Marked_U244(X1,X2,active(X3)) , Marked_U244(X1,X2,X3)>
<Marked_U245(mark(X1),X2) , Marked_U245(X1,X2)>
<Marked_U245(X1,mark(X2)) , Marked_U245(X1,X2)>
<Marked_U245(active(X1),X2) , Marked_U245(X1,X2)>
<Marked_U245(X1,active(X2)) , Marked_U245(X1,X2)>
<Marked_U246(mark(X)) , Marked_U246(X)>
<Marked_U246(active(X)) , Marked_U246(X)>
<Marked_U251(mark(X1),X2,X3) , Marked_U251(X1,X2,X3)>
<Marked_U251(X1,mark(X2),X3) , Marked_U251(X1,X2,X3)>
<Marked_U251(X1,X2,mark(X3)) , Marked_U251(X1,X2,X3)>
<Marked_U251(active(X1),X2,X3) , Marked_U251(X1,X2,X3)>
<Marked_U251(X1,active(X2),X3) , Marked_U251(X1,X2,X3)>
<Marked_U251(X1,X2,active(X3)) , Marked_U251(X1,X2,X3)>
<Marked_U252(mark(X1),X2,X3) , Marked_U252(X1,X2,X3)>
<Marked_U252(X1,mark(X2),X3) , Marked_U252(X1,X2,X3)>
<Marked_U252(X1,X2,mark(X3)) , Marked_U252(X1,X2,X3)>
<Marked_U252(active(X1),X2,X3) , Marked_U252(X1,X2,X3)>
<Marked_U252(X1,active(X2),X3) , Marked_U252(X1,X2,X3)>
<Marked_U252(X1,X2,active(X3)) , Marked_U252(X1,X2,X3)>
<Marked_U253(mark(X1),X2,X3) , Marked_U253(X1,X2,X3)>
<Marked_U253(X1,mark(X2),X3) , Marked_U253(X1,X2,X3)>
<Marked_U253(X1,X2,mark(X3)) , Marked_U253(X1,X2,X3)>
<Marked_U253(active(X1),X2,X3) , Marked_U253(X1,X2,X3)>
<Marked_U253(X1,active(X2),X3) , Marked_U253(X1,X2,X3)>
<Marked_U253(X1,X2,active(X3)) , Marked_U253(X1,X2,X3)>
<Marked_U254(mark(X1),X2,X3) , Marked_U254(X1,X2,X3)>
<Marked_U254(X1,mark(X2),X3) , Marked_U254(X1,X2,X3)>
<Marked_U254(X1,X2,mark(X3)) , Marked_U254(X1,X2,X3)>
<Marked_U254(active(X1),X2,X3) , Marked_U254(X1,X2,X3)>
<Marked_U254(X1,active(X2),X3) , Marked_U254(X1,X2,X3)>
<Marked_U254(X1,X2,active(X3)) , Marked_U254(X1,X2,X3)>
<Marked_U255(mark(X1),X2) , Marked_U255(X1,X2)>
<Marked_U255(X1,mark(X2)) , Marked_U255(X1,X2)>
<Marked_U255(active(X1),X2) , Marked_U255(X1,X2)>
<Marked_U255(X1,active(X2)) , Marked_U255(X1,X2)>
<Marked_U256(mark(X)) , Marked_U256(X)>
<Marked_U256(active(X)) , Marked_U256(X)>
<Marked_U261(mark(X1),X2) , Marked_U261(X1,X2)>
<Marked_U261(X1,mark(X2)) , Marked_U261(X1,X2)>
<Marked_U261(active(X1),X2) , Marked_U261(X1,X2)>
<Marked_U261(X1,active(X2)) , Marked_U261(X1,X2)>
<Marked_U262(mark(X)) , Marked_U262(X)>
<Marked_U262(active(X)) , Marked_U262(X)>
<Marked_U271(mark(X1),X2) , Marked_U271(X1,X2)>
<Marked_U271(X1,mark(X2)) , Marked_U271(X1,X2)>
<Marked_U271(active(X1),X2) , Marked_U271(X1,X2)>
<Marked_U271(X1,active(X2)) , Marked_U271(X1,X2)>
<Marked_U272(mark(X)) , Marked_U272(X)>
<Marked_U272(active(X)) , Marked_U272(X)>
<Marked_U281(mark(X1),X2) , Marked_U281(X1,X2)>
<Marked_U281(X1,mark(X2)) , Marked_U281(X1,X2)>
<Marked_U281(active(X1),X2) , Marked_U281(X1,X2)>
<Marked_U281(X1,active(X2)) , Marked_U281(X1,X2)>
<Marked_U282(mark(X1),X2) , Marked_U282(X1,X2)>
<Marked_U282(X1,mark(X2)) , Marked_U282(X1,X2)>
<Marked_U282(active(X1),X2) , Marked_U282(X1,X2)>
<Marked_U282(X1,active(X2)) , Marked_U282(X1,X2)>
<Marked_cons(mark(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,mark(X2)) , Marked_cons(X1,X2)>
<Marked_cons(active(X1),X2) , Marked_cons(X1,X2)>
<Marked_cons(X1,active(X2)) , Marked_cons(X1,X2)>
<Marked_natsFrom(mark(X)) , Marked_natsFrom(X)>
<Marked_natsFrom(active(X)) , Marked_natsFrom(X)>
<Marked_s(mark(X)) , Marked_s(X)>
<Marked_s(active(X)) , Marked_s(X)>
<Marked_U291(mark(X1),X2,X3) , Marked_U291(X1,X2,X3)>
<Marked_U291(X1,mark(X2),X3) , Marked_U291(X1,X2,X3)>
<Marked_U291(X1,X2,mark(X3)) , Marked_U291(X1,X2,X3)>
<Marked_U291(active(X1),X2,X3) , Marked_U291(X1,X2,X3)>
<Marked_U291(X1,active(X2),X3) , Marked_U291(X1,X2,X3)>
<Marked_U291(X1,X2,active(X3)) , Marked_U291(X1,X2,X3)>
<Marked_U292(mark(X1),X2,X3) , Marked_U292(X1,X2,X3)>
<Marked_U292(X1,mark(X2),X3) , Marked_U292(X1,X2,X3)>
<Marked_U292(X1,X2,mark(X3)) , Marked_U292(X1,X2,X3)>
<Marked_U292(active(X1),X2,X3) , Marked_U292(X1,X2,X3)>
<Marked_U292(X1,active(X2),X3) , Marked_U292(X1,X2,X3)>
<Marked_U292(X1,X2,active(X3)) , Marked_U292(X1,X2,X3)>
<Marked_U293(mark(X1),X2,X3) , Marked_U293(X1,X2,X3)>
<Marked_U293(X1,mark(X2),X3) , Marked_U293(X1,X2,X3)>
<Marked_U293(X1,X2,mark(X3)) , Marked_U293(X1,X2,X3)>
<Marked_U293(active(X1),X2,X3) , Marked_U293(X1,X2,X3)>
<Marked_U293(X1,active(X2),X3) , Marked_U293(X1,X2,X3)>
<Marked_U293(X1,X2,active(X3)) , Marked_U293(X1,X2,X3)>
<Marked_U294(mark(X1),X2,X3) , Marked_U294(X1,X2,X3)>
<Marked_U294(X1,mark(X2),X3) , Marked_U294(X1,X2,X3)>
<Marked_U294(X1,X2,mark(X3)) , Marked_U294(X1,X2,X3)>
<Marked_U294(active(X1),X2,X3) , Marked_U294(X1,X2,X3)>
<Marked_U294(X1,active(X2),X3) , Marked_U294(X1,X2,X3)>
<Marked_U294(X1,X2,active(X3)) , Marked_U294(X1,X2,X3)>
<Marked_head(mark(X)) , Marked_head(X)>
<Marked_head(active(X)) , Marked_head(X)>
<Marked_afterNth(mark(X1),X2) , Marked_afterNth(X1,X2)>
<Marked_afterNth(X1,mark(X2)) , Marked_afterNth(X1,X2)>
<Marked_afterNth(active(X1),X2) , Marked_afterNth(X1,X2)>
<Marked_afterNth(X1,active(X2)) , Marked_afterNth(X1,X2)>
<Marked_U301(mark(X1),X2,X3) , Marked_U301(X1,X2,X3)>
<Marked_U301(X1,mark(X2),X3) , Marked_U301(X1,X2,X3)>
<Marked_U301(X1,X2,mark(X3)) , Marked_U301(X1,X2,X3)>
<Marked_U301(active(X1),X2,X3) , Marked_U301(X1,X2,X3)>
<Marked_U301(X1,active(X2),X3) , Marked_U301(X1,X2,X3)>
<Marked_U301(X1,X2,active(X3)) , Marked_U301(X1,X2,X3)>
<Marked_U302(mark(X1),X2) , Marked_U302(X1,X2)>
<Marked_U302(X1,mark(X2)) , Marked_U302(X1,X2)>
<Marked_U302(active(X1),X2) , Marked_U302(X1,X2)>
<Marked_U302(X1,active(X2)) , Marked_U302(X1,X2)>
<Marked_U303(mark(X1),X2) , Marked_U303(X1,X2)>
<Marked_U303(X1,mark(X2)) , Marked_U303(X1,X2)>
<Marked_U303(active(X1),X2) , Marked_U303(X1,X2)>
<Marked_U303(X1,active(X2)) , Marked_U303(X1,X2)>
<Marked_U304(mark(X1),X2) , Marked_U304(X1,X2)>
<Marked_U304(X1,mark(X2)) , Marked_U304(X1,X2)>
<Marked_U304(active(X1),X2) , Marked_U304(X1,X2)>
<Marked_U304(X1,active(X2)) , Marked_U304(X1,X2)>
<Marked_U31(mark(X1),X2,X3) , Marked_U31(X1,X2,X3)>
<Marked_U31(X1,mark(X2),X3) , Marked_U31(X1,X2,X3)>
<Marked_U31(X1,X2,mark(X3)) , Marked_U31(X1,X2,X3)>
<Marked_U31(active(X1),X2,X3) , Marked_U31(X1,X2,X3)>
<Marked_U31(X1,active(X2),X3) , Marked_U31(X1,X2,X3)>
<Marked_U31(X1,X2,active(X3)) , Marked_U31(X1,X2,X3)>
<Marked_U32(mark(X1),X2,X3) , Marked_U32(X1,X2,X3)>
<Marked_U32(X1,mark(X2),X3) , Marked_U32(X1,X2,X3)>
<Marked_U32(X1,X2,mark(X3)) , Marked_U32(X1,X2,X3)>
<Marked_U32(active(X1),X2,X3) , Marked_U32(X1,X2,X3)>
<Marked_U32(X1,active(X2),X3) , Marked_U32(X1,X2,X3)>
<Marked_U32(X1,X2,active(X3)) , Marked_U32(X1,X2,X3)>
<Marked_U311(mark(X1),X2) , Marked_U311(X1,X2)>
<Marked_U311(X1,mark(X2)) , Marked_U311(X1,X2)>
<Marked_U311(active(X1),X2) , Marked_U311(X1,X2)>
<Marked_U311(X1,active(X2)) , Marked_U311(X1,X2)>
<Marked_U312(mark(X1),X2) , Marked_U312(X1,X2)>
<Marked_U312(X1,mark(X2)) , Marked_U312(X1,X2)>
<Marked_U312(active(X1),X2) , Marked_U312(X1,X2)>
<Marked_U312(X1,active(X2)) , Marked_U312(X1,X2)>
<Marked_pair(mark(X1),X2) , Marked_pair(X1,X2)>
<Marked_pair(X1,mark(X2)) , Marked_pair(X1,X2)>
<Marked_pair(active(X1),X2) , Marked_pair(X1,X2)>
<Marked_pair(X1,active(X2)) , Marked_pair(X1,X2)>
<Marked_U33(mark(X1),X2,X3) , Marked_U33(X1,X2,X3)>
<Marked_U33(X1,mark(X2),X3) , Marked_U33(X1,X2,X3)>
<Marked_U33(X1,X2,mark(X3)) , Marked_U33(X1,X2,X3)>
<Marked_U33(active(X1),X2,X3) , Marked_U33(X1,X2,X3)>
<Marked_U33(X1,active(X2),X3) , Marked_U33(X1,X2,X3)>
<Marked_U33(X1,X2,active(X3)) , Marked_U33(X1,X2,X3)>
<Marked_U321(mark(X1),X2,X3,X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(X1,mark(X2),X3,X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(X1,X2,mark(X3),X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(X1,X2,X3,mark(X4)) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(active(X1),X2,X3,X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(X1,active(X2),X3,X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(X1,X2,active(X3),X4) , Marked_U321(X1,X2,X3,X4)>
<Marked_U321(X1,X2,X3,active(X4)) , Marked_U321(X1,X2,X3,X4)>
<Marked_U322(mark(X1),X2,X3,X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(X1,mark(X2),X3,X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(X1,X2,mark(X3),X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(X1,X2,X3,mark(X4)) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(active(X1),X2,X3,X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(X1,active(X2),X3,X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(X1,X2,active(X3),X4) , Marked_U322(X1,X2,X3,X4)>
<Marked_U322(X1,X2,X3,active(X4)) , Marked_U322(X1,X2,X3,X4)>
<Marked_U323(mark(X1),X2,X3,X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(X1,mark(X2),X3,X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(X1,X2,mark(X3),X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(X1,X2,X3,mark(X4)) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(active(X1),X2,X3,X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(X1,active(X2),X3,X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(X1,X2,active(X3),X4) , Marked_U323(X1,X2,X3,X4)>
<Marked_U323(X1,X2,X3,active(X4)) , Marked_U323(X1,X2,X3,X4)>
<Marked_U324(mark(X1),X2,X3,X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(X1,mark(X2),X3,X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(X1,X2,mark(X3),X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(X1,X2,X3,mark(X4)) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(active(X1),X2,X3,X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(X1,active(X2),X3,X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(X1,X2,active(X3),X4) , Marked_U324(X1,X2,X3,X4)>
<Marked_U324(X1,X2,X3,active(X4)) , Marked_U324(X1,X2,X3,X4)>
<Marked_U325(mark(X1),X2,X3,X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(X1,mark(X2),X3,X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(X1,X2,mark(X3),X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(X1,X2,X3,mark(X4)) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(active(X1),X2,X3,X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(X1,active(X2),X3,X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(X1,X2,active(X3),X4) , Marked_U325(X1,X2,X3,X4)>
<Marked_U325(X1,X2,X3,active(X4)) , Marked_U325(X1,X2,X3,X4)>
<Marked_U326(mark(X1),X2,X3,X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(X1,mark(X2),X3,X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(X1,X2,mark(X3),X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(X1,X2,X3,mark(X4)) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(active(X1),X2,X3,X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(X1,active(X2),X3,X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(X1,X2,active(X3),X4) , Marked_U326(X1,X2,X3,X4)>
<Marked_U326(X1,X2,X3,active(X4)) , Marked_U326(X1,X2,X3,X4)>
<Marked_U327(mark(X1),X2) , Marked_U327(X1,X2)>
<Marked_U327(X1,mark(X2)) , Marked_U327(X1,X2)>
<Marked_U327(active(X1),X2) , Marked_U327(X1,X2)>
<Marked_U327(X1,active(X2)) , Marked_U327(X1,X2)>
<Marked_U34(mark(X1),X2) , Marked_U34(X1,X2)>
<Marked_U34(X1,mark(X2)) , Marked_U34(X1,X2)>
<Marked_U34(active(X1),X2) , Marked_U34(X1,X2)>
<Marked_U34(X1,active(X2)) , Marked_U34(X1,X2)>
<Marked_U331(mark(X1),X2,X3) , Marked_U331(X1,X2,X3)>
<Marked_U331(X1,mark(X2),X3) , Marked_U331(X1,X2,X3)>
<Marked_U331(X1,X2,mark(X3)) , Marked_U331(X1,X2,X3)>
<Marked_U331(active(X1),X2,X3) , Marked_U331(X1,X2,X3)>
<Marked_U331(X1,active(X2),X3) , Marked_U331(X1,X2,X3)>
<Marked_U331(X1,X2,active(X3)) , Marked_U331(X1,X2,X3)>
<Marked_U332(mark(X1),X2) , Marked_U332(X1,X2)>
<Marked_U332(X1,mark(X2)) , Marked_U332(X1,X2)>
<Marked_U332(active(X1),X2) , Marked_U332(X1,X2)>
<Marked_U332(X1,active(X2)) , Marked_U332(X1,X2)>
<Marked_U333(mark(X1),X2) , Marked_U333(X1,X2)>
<Marked_U333(X1,mark(X2)) , Marked_U333(X1,X2)>
<Marked_U333(active(X1),X2) , Marked_U333(X1,X2)>
<Marked_U333(X1,active(X2)) , Marked_U333(X1,X2)>
<Marked_U334(mark(X1),X2) , Marked_U334(X1,X2)>
<Marked_U334(X1,mark(X2)) , Marked_U334(X1,X2)>
<Marked_U334(active(X1),X2) , Marked_U334(X1,X2)>
<Marked_U334(X1,active(X2)) , Marked_U334(X1,X2)>
<Marked_U341(mark(X1),X2,X3) , Marked_U341(X1,X2,X3)>
<Marked_U341(X1,mark(X2),X3) , Marked_U341(X1,X2,X3)>
<Marked_U341(X1,X2,mark(X3)) , Marked_U341(X1,X2,X3)>
<Marked_U341(active(X1),X2,X3) , Marked_U341(X1,X2,X3)>
<Marked_U341(X1,active(X2),X3) , Marked_U341(X1,X2,X3)>
<Marked_U341(X1,X2,active(X3)) , Marked_U341(X1,X2,X3)>
<Marked_U342(mark(X1),X2,X3) , Marked_U342(X1,X2,X3)>
<Marked_U342(X1,mark(X2),X3) , Marked_U342(X1,X2,X3)>
<Marked_U342(X1,X2,mark(X3)) , Marked_U342(X1,X2,X3)>
<Marked_U342(active(X1),X2,X3) , Marked_U342(X1,X2,X3)>
<Marked_U342(X1,active(X2),X3) , Marked_U342(X1,X2,X3)>
<Marked_U342(X1,X2,active(X3)) , Marked_U342(X1,X2,X3)>
<Marked_U343(mark(X1),X2,X3) , Marked_U343(X1,X2,X3)>
<Marked_U343(X1,mark(X2),X3) , Marked_U343(X1,X2,X3)>
<Marked_U343(X1,X2,mark(X3)) , Marked_U343(X1,X2,X3)>
<Marked_U343(active(X1),X2,X3) , Marked_U343(X1,X2,X3)>
<Marked_U343(X1,active(X2),X3) , Marked_U343(X1,X2,X3)>
<Marked_U343(X1,X2,active(X3)) , Marked_U343(X1,X2,X3)>
<Marked_U344(mark(X1),X2,X3) , Marked_U344(X1,X2,X3)>
<Marked_U344(X1,mark(X2),X3) , Marked_U344(X1,X2,X3)>
<Marked_U344(X1,X2,mark(X3)) , Marked_U344(X1,X2,X3)>
<Marked_U344(active(X1),X2,X3) , Marked_U344(X1,X2,X3)>
<Marked_U344(X1,active(X2),X3) , Marked_U344(X1,X2,X3)>
<Marked_U344(X1,X2,active(X3)) , Marked_U344(X1,X2,X3)>
<Marked_fst(mark(X)) , Marked_fst(X)>
<Marked_fst(active(X)) , Marked_fst(X)>
<Marked_U41(mark(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,mark(X2),X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,X2,mark(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U41(active(X1),X2,X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,active(X2),X3) , Marked_U41(X1,X2,X3)>
<Marked_U41(X1,X2,active(X3)) , Marked_U41(X1,X2,X3)>
<Marked_U42(mark(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,mark(X2),X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,X2,mark(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U42(active(X1),X2,X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,active(X2),X3) , Marked_U42(X1,X2,X3)>
<Marked_U42(X1,X2,active(X3)) , Marked_U42(X1,X2,X3)>
<Marked_U43(mark(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,mark(X2),X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,X2,mark(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U43(active(X1),X2,X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,active(X2),X3) , Marked_U43(X1,X2,X3)>
<Marked_U43(X1,X2,active(X3)) , Marked_U43(X1,X2,X3)>
<Marked_U44(mark(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,mark(X2),X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,X2,mark(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U44(active(X1),X2,X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,active(X2),X3) , Marked_U44(X1,X2,X3)>
<Marked_U44(X1,X2,active(X3)) , Marked_U44(X1,X2,X3)>
<Marked_U45(mark(X1),X2) , Marked_U45(X1,X2)>
<Marked_U45(X1,mark(X2)) , Marked_U45(X1,X2)>
<Marked_U45(active(X1),X2) , Marked_U45(X1,X2)>
<Marked_U45(X1,active(X2)) , Marked_U45(X1,X2)>
<Marked_U46(mark(X)) , Marked_U46(X)>
<Marked_U46(active(X)) , Marked_U46(X)>
<Marked_U51(mark(X1),X2,X3) , Marked_U51(X1,X2,X3)>
<Marked_U51(X1,mark(X2),X3) , Marked_U51(X1,X2,X3)>
<Marked_U51(X1,X2,mark(X3)) , Marked_U51(X1,X2,X3)>
<Marked_U51(active(X1),X2,X3) , Marked_U51(X1,X2,X3)>
<Marked_U51(X1,active(X2),X3) , Marked_U51(X1,X2,X3)>
<Marked_U51(X1,X2,active(X3)) , Marked_U51(X1,X2,X3)>
<Marked_U52(mark(X1),X2,X3) , Marked_U52(X1,X2,X3)>
<Marked_U52(X1,mark(X2),X3) , Marked_U52(X1,X2,X3)>
<Marked_U52(X1,X2,mark(X3)) , Marked_U52(X1,X2,X3)>
<Marked_U52(active(X1),X2,X3) , Marked_U52(X1,X2,X3)>
<Marked_U52(X1,active(X2),X3) , Marked_U52(X1,X2,X3)>
<Marked_U52(X1,X2,active(X3)) , Marked_U52(X1,X2,X3)>
<Marked_U53(mark(X1),X2,X3) , Marked_U53(X1,X2,X3)>
<Marked_U53(X1,mark(X2),X3) , Marked_U53(X1,X2,X3)>
<Marked_U53(X1,X2,mark(X3)) , Marked_U53(X1,X2,X3)>
<Marked_U53(active(X1),X2,X3) , Marked_U53(X1,X2,X3)>
<Marked_U53(X1,active(X2),X3) , Marked_U53(X1,X2,X3)>
<Marked_U53(X1,X2,active(X3)) , Marked_U53(X1,X2,X3)>
<Marked_U54(mark(X1),X2,X3) , Marked_U54(X1,X2,X3)>
<Marked_U54(X1,mark(X2),X3) , Marked_U54(X1,X2,X3)>
<Marked_U54(X1,X2,mark(X3)) , Marked_U54(X1,X2,X3)>
<Marked_U54(active(X1),X2,X3) , Marked_U54(X1,X2,X3)>
<Marked_U54(X1,active(X2),X3) , Marked_U54(X1,X2,X3)>
<Marked_U54(X1,X2,active(X3)) , Marked_U54(X1,X2,X3)>
<Marked_U55(mark(X1),X2) , Marked_U55(X1,X2)>
<Marked_U55(X1,mark(X2)) , Marked_U55(X1,X2)>
<Marked_U55(active(X1),X2) , Marked_U55(X1,X2)>
<Marked_U55(X1,active(X2)) , Marked_U55(X1,X2)>
<Marked_U56(mark(X)) , Marked_U56(X)>
<Marked_U56(active(X)) , Marked_U56(X)>
<Marked_U61(mark(X1),X2) , Marked_U61(X1,X2)>
<Marked_U61(X1,mark(X2)) , Marked_U61(X1,X2)>
<Marked_U61(active(X1),X2) , Marked_U61(X1,X2)>
<Marked_U61(X1,active(X2)) , Marked_U61(X1,X2)>
<Marked_U62(mark(X1),X2) , Marked_U62(X1,X2)>
<Marked_U62(X1,mark(X2)) , Marked_U62(X1,X2)>
<Marked_U62(active(X1),X2) , Marked_U62(X1,X2)>
<Marked_U62(X1,active(X2)) , Marked_U62(X1,X2)>
<Marked_isPLNatKind(mark(X)) , Marked_isPLNatKind(X)>
<Marked_isPLNatKind(active(X)) , Marked_isPLNatKind(X)>
<Marked_U63(mark(X)) , Marked_U63(X)>
<Marked_U63(active(X)) , Marked_U63(X)>
<Marked_isPLNat(mark(X)) , Marked_isPLNat(X)>
<Marked_isPLNat(active(X)) , Marked_isPLNat(X)>
<Marked_U71(mark(X1),X2) , Marked_U71(X1,X2)>
<Marked_U71(X1,mark(X2)) , Marked_U71(X1,X2)>
<Marked_U71(active(X1),X2) , Marked_U71(X1,X2)>
<Marked_U71(X1,active(X2)) , Marked_U71(X1,X2)>
<Marked_U72(mark(X1),X2) , Marked_U72(X1,X2)>
<Marked_U72(X1,mark(X2)) , Marked_U72(X1,X2)>
<Marked_U72(active(X1),X2) , Marked_U72(X1,X2)>
<Marked_U72(X1,active(X2)) , Marked_U72(X1,X2)>
<Marked_U73(mark(X)) , Marked_U73(X)>
<Marked_U73(active(X)) , Marked_U73(X)>
<Marked_U81(mark(X1),X2) , Marked_U81(X1,X2)>
<Marked_U81(X1,mark(X2)) , Marked_U81(X1,X2)>
<Marked_U81(active(X1),X2) , Marked_U81(X1,X2)>
<Marked_U81(X1,active(X2)) , Marked_U81(X1,X2)>
<Marked_U82(mark(X1),X2) , Marked_U82(X1,X2)>
<Marked_U82(X1,mark(X2)) , Marked_U82(X1,X2)>
<Marked_U82(active(X1),X2) , Marked_U82(X1,X2)>
<Marked_U82(X1,active(X2)) , Marked_U82(X1,X2)>
<Marked_U83(mark(X)) , Marked_U83(X)>
<Marked_U83(active(X)) , Marked_U83(X)>
<Marked_U91(mark(X1),X2) , Marked_U91(X1,X2)>
<Marked_U91(X1,mark(X2)) , Marked_U91(X1,X2)>
<Marked_U91(active(X1),X2) , Marked_U91(X1,X2)>
<Marked_U91(X1,active(X2)) , Marked_U91(X1,X2)>
<Marked_U92(mark(X1),X2) , Marked_U92(X1,X2)>
<Marked_U92(X1,mark(X2)) , Marked_U92(X1,X2)>
<Marked_U92(active(X1),X2) , Marked_U92(X1,X2)>
<Marked_U92(X1,active(X2)) , Marked_U92(X1,X2)>
<Marked_U93(mark(X)) , Marked_U93(X)>
<Marked_U93(active(X)) , Marked_U93(X)>
<Marked_tail(mark(X)) , Marked_tail(X)>
<Marked_tail(active(X)) , Marked_tail(X)>
<Marked_take(mark(X1),X2) , Marked_take(X1,X2)>
<Marked_take(X1,mark(X2)) , Marked_take(X1,X2)>
<Marked_take(active(X1),X2) , Marked_take(X1,X2)>
<Marked_take(X1,active(X2)) , Marked_take(X1,X2)>
<Marked_sel(mark(X1),X2) , Marked_sel(X1,X2)>
<Marked_sel(X1,mark(X2)) , Marked_sel(X1,X2)>
<Marked_sel(active(X1),X2) , Marked_sel(X1,X2)>
<Marked_sel(X1,active(X2)) , Marked_sel(X1,X2)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 130 components:

{  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
      --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(sel(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(take(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(tail(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U93(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U92(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U91(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U83(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U82(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U81(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U73(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U72(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U71(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U63(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U62(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U61(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U56(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U55(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U46(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U45(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(fst(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U334(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U333(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U332(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U34(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U327(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),X2,X3,X4))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(pair(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U312(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U311(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U304(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U303(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U302(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),mark(X2)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(head(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(head(X)) , Marked_active(head(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(s(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(s(X)) , Marked_active(s(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(natsFrom(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(cons(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U282(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U281(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U272(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U271(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U262(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U261(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U256(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U255(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U246(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U245(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U232(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U231(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U24(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U221(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U211(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U206(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U205(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U193(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U192(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U191(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U183(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U182(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U181(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U172(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U171(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U161(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U151(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U141(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),mark(X2)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(snd(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U131(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U122(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U121(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U112(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U111(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U106(X)) , Marked_mark(X)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , Marked_mark(U251(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isPLNat(pair(V1,V2))) , Marked_mark(U241(isLNatKind(V1),
                                                             V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isNaturalKind(sel(V1,V2))) , Marked_mark(U231(
                                                                  isNaturalKind(
                                                                   V1),
                                                                  V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isNaturalKind(s(V1))) , Marked_mark(U221(isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isNaturalKind(head(V1))) , Marked_mark(U211(isLNatKind(
                                                                    V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isNatural(sel(V1,V2))) , Marked_mark(U201(isNaturalKind(
                                                                   V1),
                                                              V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isNatural(s(V1))) , Marked_mark(U191(isNaturalKind(V1),
                                                         V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isNatural(head(V1))) , Marked_mark(U181(isLNatKind(V1),
                                                            V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(take(V1,V2))) , Marked_mark(U171(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(tail(V1))) , Marked_mark(U161(isLNatKind(V1)))
                                                 >
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(snd(V1))) , Marked_mark(U151(isPLNatKind(V1)))
                                                >
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(natsFrom(V1))) , Marked_mark(U141(
                                                                 isNaturalKind(
                                                                  V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(fst(V1))) , Marked_mark(U131(isPLNatKind(V1)))
                                                >
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(cons(V1,V2))) , Marked_mark(U121(isNaturalKind(
                                                                    V1),
                                                                V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNatKind(afterNth(V1,V2))) , Marked_mark(U111(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(take(V1,V2))) , Marked_mark(U101(isNaturalKind(
                                                                 V1),
                                                            V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(tail(V1))) , Marked_mark(U91(isLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(snd(V1))) , Marked_mark(U81(isPLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(natsFrom(V1))) , Marked_mark(U71(isNaturalKind(
                                                                 V1),
                                                             V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(fst(V1))) , Marked_mark(U61(isPLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(cons(V1,V2))) , Marked_mark(U51(isNaturalKind(
                                                                V1),V1,
                                                            V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(isLNat(afterNth(V1,V2))) , Marked_mark(U41(isNaturalKind(
                                                                    V1),
                                                                V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(head(cons(N,XS))) , Marked_mark(U31(isNatural(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(fst(pair(X,Y))) , Marked_mark(U21(isLNat(X),X,Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(afterNth(N,XS)) , Marked_mark(U11(isNatural(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U92(tt,V1)) , Marked_mark(U93(isLNat(V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U91(tt,V1)) , Marked_mark(U92(isLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U82(tt,V1)) , Marked_mark(U83(isPLNat(V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U81(tt,V1)) , Marked_mark(U82(isPLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U72(tt,V1)) , Marked_mark(U73(isNatural(V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U71(tt,V1)) , Marked_mark(U72(isNaturalKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U62(tt,V1)) , Marked_mark(U63(isPLNat(V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U61(tt,V1)) , Marked_mark(U62(isPLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U55(tt,V2)) , Marked_mark(U56(isLNat(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U54(tt,V1,V2)) , Marked_mark(U55(isNatural(V1),V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U53(tt,V1,V2)) , Marked_mark(U54(isLNatKind(V2),V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U52(tt,V1,V2)) , Marked_mark(U53(isLNatKind(V2),V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U51(tt,V1,V2)) , Marked_mark(U52(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U45(tt,V2)) , Marked_mark(U46(isLNat(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U44(tt,V1,V2)) , Marked_mark(U45(isNatural(V1),V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U43(tt,V1,V2)) , Marked_mark(U44(isLNatKind(V2),V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U42(tt,V1,V2)) , Marked_mark(U43(isLNatKind(V2),V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U41(tt,V1,V2)) , Marked_mark(U42(isNaturalKind(V1),
                                                      V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U344(tt,N,XS)) , Marked_mark(fst(splitAt(N,XS)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U343(tt,N,XS)) , Marked_mark(U344(isLNatKind(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U342(tt,N,XS)) , Marked_mark(U343(isLNat(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U341(tt,N,XS)) , Marked_mark(U342(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U34(tt,N)) , Marked_mark(N)>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U334(tt,XS)) , Marked_mark(XS)>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U333(tt,XS)) , Marked_mark(U334(isLNatKind(XS),XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U332(tt,XS)) , Marked_mark(U333(isLNat(XS),XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U331(tt,N,XS)) , Marked_mark(U332(isNaturalKind(N),XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U33(tt,N,XS)) , Marked_mark(U34(isLNatKind(XS),N))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U327(pair(YS,ZS),X)) , Marked_mark(pair(cons(X,YS),ZS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U326(tt,N,X,XS)) , Marked_mark(U327(splitAt(N,XS),X))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U325(tt,N,X,XS)) , Marked_mark(U326(isLNatKind(XS),
                                                        N,X,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U324(tt,N,X,XS)) , Marked_mark(U325(isLNat(XS),N,X,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U323(tt,N,X,XS)) , Marked_mark(U324(isNaturalKind(X),
                                                        N,X,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U322(tt,N,X,XS)) , Marked_mark(U323(isNatural(X),
                                                        N,X,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U321(tt,N,X,XS)) , Marked_mark(U322(isNaturalKind(N),
                                                        N,X,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U32(tt,N,XS)) , Marked_mark(U33(isLNat(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U312(tt,XS)) , Marked_mark(pair(nil,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U311(tt,XS)) , Marked_mark(U312(isLNatKind(XS),XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U31(tt,N,XS)) , Marked_mark(U32(isNaturalKind(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U304(tt,Y)) , Marked_mark(Y)>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U303(tt,Y)) , Marked_mark(U304(isLNatKind(Y),Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U302(tt,Y)) , Marked_mark(U303(isLNat(Y),Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U301(tt,X,Y)) , Marked_mark(U302(isLNatKind(X),Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U294(tt,N,XS)) , Marked_mark(head(afterNth(N,XS)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U293(tt,N,XS)) , Marked_mark(U294(isLNatKind(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U292(tt,N,XS)) , Marked_mark(U293(isLNat(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U291(tt,N,XS)) , Marked_mark(U292(isNaturalKind(N),
                                                      N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U282(tt,N)) , Marked_mark(cons(N,natsFrom(s(N))))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U281(tt,N)) , Marked_mark(U282(isNaturalKind(N),N))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U271(tt,V2)) , Marked_mark(U272(isLNatKind(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U261(tt,V2)) , Marked_mark(U262(isLNatKind(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U255(tt,V2)) , Marked_mark(U256(isLNat(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U254(tt,V1,V2)) , Marked_mark(U255(isNatural(V1),V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U253(tt,V1,V2)) , Marked_mark(U254(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U252(tt,V1,V2)) , Marked_mark(U253(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U251(tt,V1,V2)) , Marked_mark(U252(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U245(tt,V2)) , Marked_mark(U246(isLNat(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U244(tt,V1,V2)) , Marked_mark(U245(isLNat(V1),V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U243(tt,V1,V2)) , Marked_mark(U244(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U242(tt,V1,V2)) , Marked_mark(U243(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U241(tt,V1,V2)) , Marked_mark(U242(isLNatKind(V1),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U24(tt,X)) , Marked_mark(X)>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U231(tt,V2)) , Marked_mark(U232(isLNatKind(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U23(tt,X,Y)) , Marked_mark(U24(isLNatKind(Y),X))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U22(tt,X,Y)) , Marked_mark(U23(isLNat(Y),X,Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U21(tt,X,Y)) , Marked_mark(U22(isLNatKind(X),X,Y))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U205(tt,V2)) , Marked_mark(U206(isLNat(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U204(tt,V1,V2)) , Marked_mark(U205(isNatural(V1),V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U203(tt,V1,V2)) , Marked_mark(U204(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U202(tt,V1,V2)) , Marked_mark(U203(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U201(tt,V1,V2)) , Marked_mark(U202(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U192(tt,V1)) , Marked_mark(U193(isNatural(V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U191(tt,V1)) , Marked_mark(U192(isNaturalKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U182(tt,V1)) , Marked_mark(U183(isLNat(V1)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U181(tt,V1)) , Marked_mark(U182(isLNatKind(V1),V1))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U171(tt,V2)) , Marked_mark(U172(isLNatKind(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U14(tt,N,XS)) , Marked_mark(snd(splitAt(N,XS)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U13(tt,N,XS)) , Marked_mark(U14(isLNatKind(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U121(tt,V2)) , Marked_mark(U122(isLNatKind(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U12(tt,N,XS)) , Marked_mark(U13(isLNat(XS),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U111(tt,V2)) , Marked_mark(U112(isLNatKind(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U11(tt,N,XS)) , Marked_mark(U12(isNaturalKind(N),N,XS))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U105(tt,V2)) , Marked_mark(U106(isLNat(V2)))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U104(tt,V1,V2)) , Marked_mark(U105(isNatural(V1),V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U103(tt,V1,V2)) , Marked_mark(U104(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U102(tt,V1,V2)) , Marked_mark(U103(isLNatKind(V2),
                                                       V1,V2))>
  <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))> 
     --> <Marked_active(U101(tt,V1,V2)) , Marked_mark(U102(isNaturalKind(V1),
                                                       V1,V2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(sel(X1,X2)) , Marked_active(sel(mark(X1),mark(X2)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(take(X1,X2)) , Marked_active(take(mark(X1),mark(X2)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(tail(X)) , Marked_active(tail(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U93(X)) , Marked_active(U93(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U92(X1,X2)) , Marked_active(U92(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U91(X1,X2)) , Marked_active(U91(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U83(X)) , Marked_active(U83(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U82(X1,X2)) , Marked_active(U82(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U81(X1,X2)) , Marked_active(U81(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U73(X)) , Marked_active(U73(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U72(X1,X2)) , Marked_active(U72(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U71(X1,X2)) , Marked_active(U71(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNat(X)) , Marked_active(isPLNat(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U63(X)) , Marked_active(U63(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isPLNatKind(X)) , Marked_active(isPLNatKind(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U62(X1,X2)) , Marked_active(U62(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U61(X1,X2)) , Marked_active(U61(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U56(X)) , Marked_active(U56(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U55(X1,X2)) , Marked_active(U55(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U54(X1,X2,X3)) , Marked_active(U54(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U53(X1,X2,X3)) , Marked_active(U53(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U52(X1,X2,X3)) , Marked_active(U52(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U51(X1,X2,X3)) , Marked_active(U51(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U46(X)) , Marked_active(U46(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U45(X1,X2)) , Marked_active(U45(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U44(X1,X2,X3)) , Marked_active(U44(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U43(X1,X2,X3)) , Marked_active(U43(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U42(X1,X2,X3)) , Marked_active(U42(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U41(X1,X2,X3)) , Marked_active(U41(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(fst(X)) , Marked_active(fst(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U344(X1,X2,X3)) , Marked_active(U344(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U343(X1,X2,X3)) , Marked_active(U343(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U342(X1,X2,X3)) , Marked_active(U342(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U341(X1,X2,X3)) , Marked_active(U341(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U334(X1,X2)) , Marked_active(U334(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U333(X1,X2)) , Marked_active(U333(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U332(X1,X2)) , Marked_active(U332(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U331(X1,X2,X3)) , Marked_active(U331(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U34(X1,X2)) , Marked_active(U34(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U327(X1,X2)) , Marked_active(U327(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U326(X1,X2,X3,X4)) , Marked_active(U326(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U325(X1,X2,X3,X4)) , Marked_active(U325(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U324(X1,X2,X3,X4)) , Marked_active(U324(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U323(X1,X2,X3,X4)) , Marked_active(U323(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U322(X1,X2,X3,X4)) , Marked_active(U322(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U321(X1,X2,X3,X4)) , Marked_active(U321(mark(X1),
                                                          X2,X3,X4))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U33(X1,X2,X3)) , Marked_active(U33(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(pair(X1,X2)) , Marked_active(pair(mark(X1),mark(X2)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U312(X1,X2)) , Marked_active(U312(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U311(X1,X2)) , Marked_active(U311(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U32(X1,X2,X3)) , Marked_active(U32(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U31(X1,X2,X3)) , Marked_active(U31(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U304(X1,X2)) , Marked_active(U304(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U303(X1,X2)) , Marked_active(U303(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U302(X1,X2)) , Marked_active(U302(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U301(X1,X2,X3)) , Marked_active(U301(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(afterNth(X1,X2)) , Marked_active(afterNth(mark(X1),
                                                        mark(X2)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(head(X)) , Marked_active(head(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U294(X1,X2,X3)) , Marked_active(U294(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U293(X1,X2,X3)) , Marked_active(U293(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U292(X1,X2,X3)) , Marked_active(U292(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U291(X1,X2,X3)) , Marked_active(U291(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(s(X)) , Marked_active(s(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(natsFrom(X)) , Marked_active(natsFrom(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(cons(X1,X2)) , Marked_active(cons(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U282(X1,X2)) , Marked_active(U282(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U281(X1,X2)) , Marked_active(U281(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U272(X)) , Marked_active(U272(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U271(X1,X2)) , Marked_active(U271(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U262(X)) , Marked_active(U262(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U261(X1,X2)) , Marked_active(U261(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U256(X)) , Marked_active(U256(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U255(X1,X2)) , Marked_active(U255(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U254(X1,X2,X3)) , Marked_active(U254(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U253(X1,X2,X3)) , Marked_active(U253(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U252(X1,X2,X3)) , Marked_active(U252(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U251(X1,X2,X3)) , Marked_active(U251(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U246(X)) , Marked_active(U246(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U245(X1,X2)) , Marked_active(U245(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U244(X1,X2,X3)) , Marked_active(U244(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U243(X1,X2,X3)) , Marked_active(U243(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U242(X1,X2,X3)) , Marked_active(U242(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U241(X1,X2,X3)) , Marked_active(U241(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U232(X)) , Marked_active(U232(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U231(X1,X2)) , Marked_active(U231(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U24(X1,X2)) , Marked_active(U24(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U221(X)) , Marked_active(U221(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U23(X1,X2,X3)) , Marked_active(U23(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U211(X)) , Marked_active(U211(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U22(X1,X2,X3)) , Marked_active(U22(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U21(X1,X2,X3)) , Marked_active(U21(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U206(X)) , Marked_active(U206(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U205(X1,X2)) , Marked_active(U205(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U204(X1,X2,X3)) , Marked_active(U204(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U203(X1,X2,X3)) , Marked_active(U203(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U202(X1,X2,X3)) , Marked_active(U202(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U201(X1,X2,X3)) , Marked_active(U201(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U193(X)) , Marked_active(U193(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U192(X1,X2)) , Marked_active(U192(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U191(X1,X2)) , Marked_active(U191(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U183(X)) , Marked_active(U183(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U182(X1,X2)) , Marked_active(U182(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U181(X1,X2)) , Marked_active(U181(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U172(X)) , Marked_active(U172(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U171(X1,X2)) , Marked_active(U171(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U161(X)) , Marked_active(U161(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U151(X)) , Marked_active(U151(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U141(X)) , Marked_active(U141(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X2)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(splitAt(X1,X2)) , Marked_active(splitAt(mark(X1),
                                                       mark(X2)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(snd(X)) , Marked_active(snd(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U131(X)) , Marked_active(U131(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U14(X1,X2,X3)) , Marked_active(U14(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U122(X)) , Marked_active(U122(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U121(X1,X2)) , Marked_active(U121(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U13(X1,X2,X3)) , Marked_active(U13(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U112(X)) , Marked_active(U112(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U111(X1,X2)) , Marked_active(U111(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U12(X1,X2,X3)) , Marked_active(U12(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U11(X1,X2,X3)) , Marked_active(U11(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNat(X)) , Marked_active(isLNat(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_mark(X)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U106(X)) , Marked_active(U106(mark(X)))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNatural(X)) , Marked_active(isNatural(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U104(X1,X2,X3)) , Marked_active(U104(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isLNatKind(X)) , Marked_active(isLNatKind(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U103(X1,X2,X3)) , Marked_active(U103(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(isNaturalKind(X)) , Marked_active(isNaturalKind(X))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U102(X1,X2,X3)) , Marked_active(U102(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_mark(X1)>
  <Marked_mark(U105(X1,X2)) , Marked_mark(X1)> 
     --> <Marked_mark(U101(X1,X2,X3)) , Marked_active(U101(mark(X1),X2,X3))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(take(N,XS)) , Marked_mark(U341(isNatural(N),N,XS))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(tail(cons(N,XS))) , Marked_mark(U331(isNatural(N),N,XS))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(splitAt(s(N),cons(X,XS))) , Marked_mark(U321(
                                                                 isNatural(
                                                                  N),
                                                                 N,X,
                                                                 XS))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(splitAt(0,XS)) , Marked_mark(U311(isLNat(XS),XS))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(snd(pair(X,Y))) , Marked_mark(U301(isLNat(X),X,Y))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(sel(N,XS)) , Marked_mark(U291(isNatural(N),N,XS))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(natsFrom(N)) , Marked_mark(U281(isNatural(N),N))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(splitAt(V1,V2))) , Marked_mark(U271(
                                                                    isNaturalKind(
                                                                    V1),
                                                                    V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isPLNatKind(pair(V1,V2))) , Marked_mark(U261(
                                                                 isLNatKind(
                                                                  V1),
                                                                 V2))>
  <Marked_mark(U105(X1,X2)) , Marked_active(U105(mark(X1),X2))> 
     --> <Marked_active(isPLNat(splitAt(V1,V2))) , M